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Finding the Fourth Proportional to 488,445.64, 732,918.50 and 232,567.84

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Solution

The fourth proportional to 488,445.64, 732,918.50 and 232,567.84 is: 348,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,445.64 : 732,918.50 = 232,567.84 : x
  2. Step 2: Convert to fraction form
    488,445.64/732,918.50 = 232,567.84/x
  3. Step 3: Cross multiply
    488,445.64x = 732,918.50 × 232,567.84
  4. Step 4: Simplify right side
    488,445.64x = 170,453,272,441.04
  5. Step 5: Solve for x
    x = 170,453,272,441.04/488,445.64
  6. Step 6: Final answer
    x = 348,970.81

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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.