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Finding the Fourth Proportional to 468,113.92, 702,240 and 135,646.72

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Solution

The fourth proportional to 468,113.92, 702,240 and 135,646.72 is: 203,490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,113.92 : 702,240 = 135,646.72 : x
  2. Step 2: Convert to fraction form
    468,113.92/702,240 = 135,646.72/x
  3. Step 3: Cross multiply
    468,113.92x = 702,240 × 135,646.72
  4. Step 4: Simplify right side
    468,113.92x = 95,256,552,652.80
  5. Step 5: Solve for x
    x = 95,256,552,652.80/468,113.92
  6. Step 6: Final answer
    x = 203,490.11

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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.