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Finding the Fourth Proportional to 527,851.73, 727,965.05 and 411,594

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Solution

The fourth proportional to 527,851.73, 727,965.05 and 411,594 is: 567,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,851.73 : 727,965.05 = 411,594 : x
  2. Step 2: Convert to fraction form
    527,851.73/727,965.05 = 411,594/x
  3. Step 3: Cross multiply
    527,851.73x = 727,965.05 × 411,594
  4. Step 4: Simplify right side
    527,851.73x = 299,626,044,731.73
  5. Step 5: Solve for x
    x = 299,626,044,731.73/527,851.73
  6. Step 6: Final answer
    x = 567,632.97

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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.