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Finding the Fourth Proportional to 530,641.62, 732,299.40 and 288,934.38

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Solution

The fourth proportional to 530,641.62, 732,299.40 and 288,934.38 is: 398,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,641.62 : 732,299.40 = 288,934.38 : x
  2. Step 2: Convert to fraction form
    530,641.62/732,299.40 = 288,934.38/x
  3. Step 3: Cross multiply
    530,641.62x = 732,299.40 × 288,934.38
  4. Step 4: Simplify right side
    530,641.62x = 211,586,473,113.37
  5. Step 5: Solve for x
    x = 211,586,473,113.37/530,641.62
  6. Step 6: Final answer
    x = 398,737.05

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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.