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Finding the Fourth Proportional to 477,545.22, 716,071.32 and 140,542.16

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Solution

The fourth proportional to 477,545.22, 716,071.32 and 140,542.16 is: 210,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,545.22 : 716,071.32 = 140,542.16 : x
  2. Step 2: Convert to fraction form
    477,545.22/716,071.32 = 140,542.16/x
  3. Step 3: Cross multiply
    477,545.22x = 716,071.32 × 140,542.16
  4. Step 4: Simplify right side
    477,545.22x = 100,638,206,446.50
  5. Step 5: Solve for x
    x = 100,638,206,446.50/477,545.22
  6. Step 6: Final answer
    x = 210,740.68

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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.