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Finding the Fourth Proportional to 473,884.56, 653,962.01 and 282,893.85

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Solution

The fourth proportional to 473,884.56, 653,962.01 and 282,893.85 is: 390,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,884.56 : 653,962.01 = 282,893.85 : x
  2. Step 2: Convert to fraction form
    473,884.56/653,962.01 = 282,893.85/x
  3. Step 3: Cross multiply
    473,884.56x = 653,962.01 × 282,893.85
  4. Step 4: Simplify right side
    473,884.56x = 185,001,829,348.17
  5. Step 5: Solve for x
    x = 185,001,829,348.17/473,884.56
  6. Step 6: Final answer
    x = 390,394.30

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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.