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Finding the Fourth Proportional to 527,827.27, 728,402.16 and 286,109.79

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Solution

The fourth proportional to 527,827.27, 728,402.16 and 286,109.79 is: 394,831.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,827.27 : 728,402.16 = 286,109.79 : x
  2. Step 2: Convert to fraction form
    527,827.27/728,402.16 = 286,109.79/x
  3. Step 3: Cross multiply
    527,827.27x = 728,402.16 × 286,109.79
  4. Step 4: Simplify right side
    527,827.27x = 208,402,985,391.14
  5. Step 5: Solve for x
    x = 208,402,985,391.14/527,827.27
  6. Step 6: Final answer
    x = 394,831.79

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