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Finding the Fourth Proportional to 418,986.61, 578,214.56 and 237,706.18

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Solution

The fourth proportional to 418,986.61, 578,214.56 and 237,706.18 is: 328,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,986.61 : 578,214.56 = 237,706.18 : x
  2. Step 2: Convert to fraction form
    418,986.61/578,214.56 = 237,706.18/x
  3. Step 3: Cross multiply
    418,986.61x = 578,214.56 × 237,706.18
  4. Step 4: Simplify right side
    418,986.61x = 137,445,170,198.38
  5. Step 5: Solve for x
    x = 137,445,170,198.38/418,986.61
  6. Step 6: Final answer
    x = 328,041.92

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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.