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Finding the Fourth Proportional to 651,873.20, 978,385.80 and 385,300.40

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Solution

The fourth proportional to 651,873.20, 978,385.80 and 385,300.40 is: 578,291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,873.20 : 978,385.80 = 385,300.40 : x
  2. Step 2: Convert to fraction form
    651,873.20/978,385.80 = 385,300.40/x
  3. Step 3: Cross multiply
    651,873.20x = 978,385.80 × 385,300.40
  4. Step 4: Simplify right side
    651,873.20x = 376,972,440,094.32
  5. Step 5: Solve for x
    x = 376,972,440,094.32/651,873.20
  6. Step 6: Final answer
    x = 578,291.05

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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.