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Finding the Fourth Proportional to 309,332.34, 464,037.75 and 109,613.70

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Solution

The fourth proportional to 309,332.34, 464,037.75 and 109,613.70 is: 164,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,332.34 : 464,037.75 = 109,613.70 : x
  2. Step 2: Convert to fraction form
    309,332.34/464,037.75 = 109,613.70/x
  3. Step 3: Cross multiply
    309,332.34x = 464,037.75 × 109,613.70
  4. Step 4: Simplify right side
    309,332.34x = 50,864,894,717.18
  5. Step 5: Solve for x
    x = 50,864,894,717.18/309,332.34
  6. Step 6: Final answer
    x = 164,434.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.