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Finding the Fourth Proportional to 476,604, 714,687.98 and 284,565.58

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Solution

The fourth proportional to 476,604, 714,687.98 and 284,565.58 is: 426,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,604 : 714,687.98 = 284,565.58 : x
  2. Step 2: Convert to fraction form
    476,604/714,687.98 = 284,565.58/x
  3. Step 3: Cross multiply
    476,604x = 714,687.98 × 284,565.58
  4. Step 4: Simplify right side
    476,604x = 203,375,599,547.73
  5. Step 5: Solve for x
    x = 203,375,599,547.73/476,604
  6. Step 6: Final answer
    x = 426,718.20

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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.