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Finding the Fourth Proportional to 527,599.71, 728,044.47 and 298,176.66

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Solution

The fourth proportional to 527,599.71, 728,044.47 and 298,176.66 is: 411,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,599.71 : 728,044.47 = 298,176.66 : x
  2. Step 2: Convert to fraction form
    527,599.71/728,044.47 = 298,176.66/x
  3. Step 3: Cross multiply
    527,599.71x = 728,044.47 × 298,176.66
  4. Step 4: Simplify right side
    527,599.71x = 217,085,868,396.07
  5. Step 5: Solve for x
    x = 217,085,868,396.07/527,599.71
  6. Step 6: Final answer
    x = 411,459.42

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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.