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Finding the Fourth Proportional to 532,865.51, 735,332.54 and 291,156.38

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Solution

The fourth proportional to 532,865.51, 735,332.54 and 291,156.38 is: 401,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,865.51 : 735,332.54 = 291,156.38 : x
  2. Step 2: Convert to fraction form
    532,865.51/735,332.54 = 291,156.38/x
  3. Step 3: Cross multiply
    532,865.51x = 735,332.54 × 291,156.38
  4. Step 4: Simplify right side
    532,865.51x = 214,096,755,310.16
  5. Step 5: Solve for x
    x = 214,096,755,310.16/532,865.51
  6. Step 6: Final answer
    x = 401,783.85

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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.