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Finding the Fourth Proportional to 314,928,522.40, 472,392,783.60 and 291,970,271.20

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Solution

The fourth proportional to 314,928,522.40, 472,392,783.60 and 291,970,271.20 is: 437,955,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,522.40 : 472,392,783.60 = 291,970,271.20 : x
  2. Step 2: Convert to fraction form
    314,928,522.40/472,392,783.60 = 291,970,271.20/x
  3. Step 3: Cross multiply
    314,928,522.40x = 472,392,783.60 × 291,970,271.20
  4. Step 4: Simplify right side
    314,928,522.40x = 137,924,649,140,614,912
  5. Step 5: Solve for x
    x = 137,924,649,140,614,912/314,928,522.40
  6. Step 6: Final answer
    x = 437,955,406.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.