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Finding the Fourth Proportional to 527,266.65, 727,624.32 and 285,543.69

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Solution

The fourth proportional to 527,266.65, 727,624.32 and 285,543.69 is: 394,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,266.65 : 727,624.32 = 285,543.69 : x
  2. Step 2: Convert to fraction form
    527,266.65/727,624.32 = 285,543.69/x
  3. Step 3: Cross multiply
    527,266.65x = 727,624.32 × 285,543.69
  4. Step 4: Simplify right side
    527,266.65x = 207,768,533,266.54
  5. Step 5: Solve for x
    x = 207,768,533,266.54/527,266.65
  6. Step 6: Final answer
    x = 394,048.31

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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.