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Finding the Fourth Proportional to 462,654.76, 638,428.10 and 281,341.64

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Solution

The fourth proportional to 462,654.76, 638,428.10 and 281,341.64 is: 388,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,654.76 : 638,428.10 = 281,341.64 : x
  2. Step 2: Convert to fraction form
    462,654.76/638,428.10 = 281,341.64/x
  3. Step 3: Cross multiply
    462,654.76x = 638,428.10 × 281,341.64
  4. Step 4: Simplify right side
    462,654.76x = 179,616,408,676.08
  5. Step 5: Solve for x
    x = 179,616,408,676.08/462,654.76
  6. Step 6: Final answer
    x = 388,229.89

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1.5x scale

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.