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Finding the Fourth Proportional to 384,772.10, 577,158.15 and 314,788.10

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Solution

The fourth proportional to 384,772.10, 577,158.15 and 314,788.10 is: 472,182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,772.10 : 577,158.15 = 314,788.10 : x
  2. Step 2: Convert to fraction form
    384,772.10/577,158.15 = 314,788.10/x
  3. Step 3: Cross multiply
    384,772.10x = 577,158.15 × 314,788.10
  4. Step 4: Simplify right side
    384,772.10x = 181,682,517,438.02
  5. Step 5: Solve for x
    x = 181,682,517,438.02/384,772.10
  6. Step 6: Final answer
    x = 472,182.15

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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.