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Finding the Fourth Proportional to 473,149.89, 652,948.02 and 258,290.10

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Solution

The fourth proportional to 473,149.89, 652,948.02 and 258,290.10 is: 356,440.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,149.89 : 652,948.02 = 258,290.10 : x
  2. Step 2: Convert to fraction form
    473,149.89/652,948.02 = 258,290.10/x
  3. Step 3: Cross multiply
    473,149.89x = 652,948.02 × 258,290.10
  4. Step 4: Simplify right side
    473,149.89x = 168,650,009,380.60
  5. Step 5: Solve for x
    x = 168,650,009,380.60/473,149.89
  6. Step 6: Final answer
    x = 356,440.98

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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.