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Finding the Fourth Proportional to 488,494.72, 732,992 and 232,616.96

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Solution

The fourth proportional to 488,494.72, 732,992 and 232,616.96 is: 349,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,494.72 : 732,992 = 232,616.96 : x
  2. Step 2: Convert to fraction form
    488,494.72/732,992 = 232,616.96/x
  3. Step 3: Cross multiply
    488,494.72x = 732,992 × 232,616.96
  4. Step 4: Simplify right side
    488,494.72x = 170,506,370,744.32
  5. Step 5: Solve for x
    x = 170,506,370,744.32/488,494.72
  6. Step 6: Final answer
    x = 349,044.45

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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.