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Finding the Fourth Proportional to 486,547.80, 729,432.90 and 205,834.20

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Solution

The fourth proportional to 486,547.80, 729,432.90 and 205,834.20 is: 308,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,547.80 : 729,432.90 = 205,834.20 : x
  2. Step 2: Convert to fraction form
    486,547.80/729,432.90 = 205,834.20/x
  3. Step 3: Cross multiply
    486,547.80x = 729,432.90 × 205,834.20
  4. Step 4: Simplify right side
    486,547.80x = 150,142,237,425.18
  5. Step 5: Solve for x
    x = 150,142,237,425.18/486,547.80
  6. Step 6: Final answer
    x = 308,586.82

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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.