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Finding the Fourth Proportional to 564,084.52, 846,129.70 and 190,110.76

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Solution

The fourth proportional to 564,084.52, 846,129.70 and 190,110.76 is: 285,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,084.52 : 846,129.70 = 190,110.76 : x
  2. Step 2: Convert to fraction form
    564,084.52/846,129.70 = 190,110.76/x
  3. Step 3: Cross multiply
    564,084.52x = 846,129.70 × 190,110.76
  4. Step 4: Simplify right side
    564,084.52x = 160,858,360,325.57
  5. Step 5: Solve for x
    x = 160,858,360,325.57/564,084.52
  6. Step 6: Final answer
    x = 285,167.12

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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.