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Finding the Fourth Proportional to 285,537.80, 428,306.70 and 152,827.40

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Solution

The fourth proportional to 285,537.80, 428,306.70 and 152,827.40 is: 229,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,537.80 : 428,306.70 = 152,827.40 : x
  2. Step 2: Convert to fraction form
    285,537.80/428,306.70 = 152,827.40/x
  3. Step 3: Cross multiply
    285,537.80x = 428,306.70 × 152,827.40
  4. Step 4: Simplify right side
    285,537.80x = 65,456,999,363.58
  5. Step 5: Solve for x
    x = 65,456,999,363.58/285,537.80
  6. Step 6: Final answer
    x = 229,241.10

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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.