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Finding the Fourth Proportional to 527,756.41, 728,292.11 and 298,283.16

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Solution

The fourth proportional to 527,756.41, 728,292.11 and 298,283.16 is: 411,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,756.41 : 728,292.11 = 298,283.16 : x
  2. Step 2: Convert to fraction form
    527,756.41/728,292.11 = 298,283.16/x
  3. Step 3: Cross multiply
    527,756.41x = 728,292.11 × 298,283.16
  4. Step 4: Simplify right side
    527,756.41x = 217,237,270,794.75
  5. Step 5: Solve for x
    x = 217,237,270,794.75/527,756.41
  6. Step 6: Final answer
    x = 411,624.12

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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.