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Finding the Fourth Proportional to 527,549.35, 728,017.11 and 285,838.47

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Solution

The fourth proportional to 527,549.35, 728,017.11 and 285,838.47 is: 394,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,549.35 : 728,017.11 = 285,838.47 : x
  2. Step 2: Convert to fraction form
    527,549.35/728,017.11 = 285,838.47/x
  3. Step 3: Cross multiply
    527,549.35x = 728,017.11 × 285,838.47
  4. Step 4: Simplify right side
    527,549.35x = 208,095,296,856.22
  5. Step 5: Solve for x
    x = 208,095,296,856.22/527,549.35
  6. Step 6: Final answer
    x = 394,456.55

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1.5x scale

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.