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Finding the Fourth Proportional to 427,565.90, 640,947.90 and 161,505.20

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Solution

The fourth proportional to 427,565.90, 640,947.90 and 161,505.20 is: 242,106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,565.90 : 640,947.90 = 161,505.20 : x
  2. Step 2: Convert to fraction form
    427,565.90/640,947.90 = 161,505.20/x
  3. Step 3: Cross multiply
    427,565.90x = 640,947.90 × 161,505.20
  4. Step 4: Simplify right side
    427,565.90x = 103,516,418,779.08
  5. Step 5: Solve for x
    x = 103,516,418,779.08/427,565.90
  6. Step 6: Final answer
    x = 242,106.35

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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.