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Finding the Fourth Proportional to 532,869.78, 735,370.92 and 291,167.40

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Solution

The fourth proportional to 532,869.78, 735,370.92 and 291,167.40 is: 401,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,869.78 : 735,370.92 = 291,167.40 : x
  2. Step 2: Convert to fraction form
    532,869.78/735,370.92 = 291,167.40/x
  3. Step 3: Cross multiply
    532,869.78x = 735,370.92 × 291,167.40
  4. Step 4: Simplify right side
    532,869.78x = 214,116,038,812.01
  5. Step 5: Solve for x
    x = 214,116,038,812.01/532,869.78
  6. Step 6: Final answer
    x = 401,816.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.