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Finding the Fourth Proportional to 313,691.61, 470,536.47 and 89,052.24

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Solution

The fourth proportional to 313,691.61, 470,536.47 and 89,052.24 is: 133,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,691.61 : 470,536.47 = 89,052.24 : x
  2. Step 2: Convert to fraction form
    313,691.61/470,536.47 = 89,052.24/x
  3. Step 3: Cross multiply
    313,691.61x = 470,536.47 × 89,052.24
  4. Step 4: Simplify right side
    313,691.61x = 41,902,326,655.19
  5. Step 5: Solve for x
    x = 41,902,326,655.19/313,691.61
  6. Step 6: Final answer
    x = 133,578.09

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1.5x scale

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.