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Finding the Fourth Proportional to 527,574.26, 728,053.14 and 285,856.77

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Solution

The fourth proportional to 527,574.26, 728,053.14 and 285,856.77 is: 394,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,574.26 : 728,053.14 = 285,856.77 : x
  2. Step 2: Convert to fraction form
    527,574.26/728,053.14 = 285,856.77/x
  3. Step 3: Cross multiply
    527,574.26x = 728,053.14 × 285,856.77
  4. Step 4: Simplify right side
    527,574.26x = 208,118,918,331.35
  5. Step 5: Solve for x
    x = 208,118,918,331.35/527,574.26
  6. Step 6: Final answer
    x = 394,482.70

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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.