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Finding the Fourth Proportional to 564,562.25, 847,009.73 and 227,429.42

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Solution

The fourth proportional to 564,562.25, 847,009.73 and 227,429.42 is: 341,211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,562.25 : 847,009.73 = 227,429.42 : x
  2. Step 2: Convert to fraction form
    564,562.25/847,009.73 = 227,429.42/x
  3. Step 3: Cross multiply
    564,562.25x = 847,009.73 × 227,429.42
  4. Step 4: Simplify right side
    564,562.25x = 192,634,931,628.26
  5. Step 5: Solve for x
    x = 192,634,931,628.26/564,562.25
  6. Step 6: Final answer
    x = 341,211.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.