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Finding the Fourth Proportional to 418,547.80, 627,821.70 and 381,806.20

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Solution

The fourth proportional to 418,547.80, 627,821.70 and 381,806.20 is: 572,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,547.80 : 627,821.70 = 381,806.20 : x
  2. Step 2: Convert to fraction form
    418,547.80/627,821.70 = 381,806.20/x
  3. Step 3: Cross multiply
    418,547.80x = 627,821.70 × 381,806.20
  4. Step 4: Simplify right side
    418,547.80x = 239,706,217,554.54
  5. Step 5: Solve for x
    x = 239,706,217,554.54/418,547.80
  6. Step 6: Final answer
    x = 572,709.30

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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.