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Finding the Fourth Proportional to 473,068.11, 709,915.57 and 259,984.83

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Solution

The fourth proportional to 473,068.11, 709,915.57 and 259,984.83 is: 390,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,068.11 : 709,915.57 = 259,984.83 : x
  2. Step 2: Convert to fraction form
    473,068.11/709,915.57 = 259,984.83/x
  3. Step 3: Cross multiply
    473,068.11x = 709,915.57 × 259,984.83
  4. Step 4: Simplify right side
    473,068.11x = 184,567,278,780.80
  5. Step 5: Solve for x
    x = 184,567,278,780.80/473,068.11
  6. Step 6: Final answer
    x = 390,149.48

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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.