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Finding the Fourth Proportional to 564,732.48, 847,254.24 and 191,017.92

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Solution

The fourth proportional to 564,732.48, 847,254.24 and 191,017.92 is: 286,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,732.48 : 847,254.24 = 191,017.92 : x
  2. Step 2: Convert to fraction form
    564,732.48/847,254.24 = 191,017.92/x
  3. Step 3: Cross multiply
    564,732.48x = 847,254.24 × 191,017.92
  4. Step 4: Simplify right side
    564,732.48x = 161,840,742,635.98
  5. Step 5: Solve for x
    x = 161,840,742,635.98/564,732.48
  6. Step 6: Final answer
    x = 286,579.48

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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.