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Finding the Fourth Proportional to 528,719.47, 729,613.38 and 286,996.74

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Solution

The fourth proportional to 528,719.47, 729,613.38 and 286,996.74 is: 396,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,719.47 : 729,613.38 = 286,996.74 : x
  2. Step 2: Convert to fraction form
    528,719.47/729,613.38 = 286,996.74/x
  3. Step 3: Cross multiply
    528,719.47x = 729,613.38 × 286,996.74
  4. Step 4: Simplify right side
    528,719.47x = 209,396,661,520.38
  5. Step 5: Solve for x
    x = 209,396,661,520.38/528,719.47
  6. Step 6: Final answer
    x = 396,044.92

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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.