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Finding the Fourth Proportional to 334,002.40, 501,003.60 and 314,319.40

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Solution

The fourth proportional to 334,002.40, 501,003.60 and 314,319.40 is: 471,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,002.40 : 501,003.60 = 314,319.40 : x
  2. Step 2: Convert to fraction form
    334,002.40/501,003.60 = 314,319.40/x
  3. Step 3: Cross multiply
    334,002.40x = 501,003.60 × 314,319.40
  4. Step 4: Simplify right side
    334,002.40x = 157,475,150,949.84
  5. Step 5: Solve for x
    x = 157,475,150,949.84/334,002.40
  6. Step 6: Final answer
    x = 471,479.10

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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.