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Finding the Fourth Proportional to 530,541.14, 732,156.11 and 288,830.66

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Solution

The fourth proportional to 530,541.14, 732,156.11 and 288,830.66 is: 398,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,541.14 : 732,156.11 = 288,830.66 : x
  2. Step 2: Convert to fraction form
    530,541.14/732,156.11 = 288,830.66/x
  3. Step 3: Cross multiply
    530,541.14x = 732,156.11 × 288,830.66
  4. Step 4: Simplify right side
    530,541.14x = 211,469,127,369.40
  5. Step 5: Solve for x
    x = 211,469,127,369.40/530,541.14
  6. Step 6: Final answer
    x = 398,591.39

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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.