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Finding the Fourth Proportional to 527,011.68, 727,271.82 and 285,289.32

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Solution

The fourth proportional to 527,011.68, 727,271.82 and 285,289.32 is: 393,696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,011.68 : 727,271.82 = 285,289.32 : x
  2. Step 2: Convert to fraction form
    527,011.68/727,271.82 = 285,289.32/x
  3. Step 3: Cross multiply
    527,011.68x = 727,271.82 × 285,289.32
  4. Step 4: Simplify right side
    527,011.68x = 207,482,882,982.96
  5. Step 5: Solve for x
    x = 207,482,882,982.96/527,011.68
  6. Step 6: Final answer
    x = 393,696.93

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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.