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Finding the Fourth Proportional to 435,412.59, 653,125.79 and 165,544.84

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Solution

The fourth proportional to 435,412.59, 653,125.79 and 165,544.84 is: 248,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,412.59 : 653,125.79 = 165,544.84 : x
  2. Step 2: Convert to fraction form
    435,412.59/653,125.79 = 165,544.84/x
  3. Step 3: Cross multiply
    435,412.59x = 653,125.79 × 165,544.84
  4. Step 4: Simplify right side
    435,412.59x = 108,121,604,405.42
  5. Step 5: Solve for x
    x = 108,121,604,405.42/435,412.59
  6. Step 6: Final answer
    x = 248,319.89

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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.