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Finding the Fourth Proportional to 488,722.50, 732,853.70 and 189,343.26

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Solution

The fourth proportional to 488,722.50, 732,853.70 and 189,343.26 is: 283,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,722.50 : 732,853.70 = 189,343.26 : x
  2. Step 2: Convert to fraction form
    488,722.50/732,853.70 = 189,343.26/x
  3. Step 3: Cross multiply
    488,722.50x = 732,853.70 × 189,343.26
  4. Step 4: Simplify right side
    488,722.50x = 138,760,908,661.06
  5. Step 5: Solve for x
    x = 138,760,908,661.06/488,722.50
  6. Step 6: Final answer
    x = 283,925.76

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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.