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Finding the Fourth Proportional to 314,892.77, 472,431.18 and 101,655.68

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Solution

The fourth proportional to 314,892.77, 472,431.18 and 101,655.68 is: 152,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,892.77 : 472,431.18 = 101,655.68 : x
  2. Step 2: Convert to fraction form
    314,892.77/472,431.18 = 101,655.68/x
  3. Step 3: Cross multiply
    314,892.77x = 472,431.18 × 101,655.68
  4. Step 4: Simplify right side
    314,892.77x = 48,025,312,856.10
  5. Step 5: Solve for x
    x = 48,025,312,856.10/314,892.77
  6. Step 6: Final answer
    x = 152,513.23

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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.