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Finding the Fourth Proportional to 564,706.85, 847,158.98 and 185,522.36

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Solution

The fourth proportional to 564,706.85, 847,158.98 and 185,522.36 is: 278,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,706.85 : 847,158.98 = 185,522.36 : x
  2. Step 2: Convert to fraction form
    564,706.85/847,158.98 = 185,522.36/x
  3. Step 3: Cross multiply
    564,706.85x = 847,158.98 × 185,522.36
  4. Step 4: Simplify right side
    564,706.85x = 157,166,928,101.39
  5. Step 5: Solve for x
    x = 157,166,928,101.39/564,706.85
  6. Step 6: Final answer
    x = 278,315.96

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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.