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Finding the Fourth Proportional to 488,113.60, 731,392.80 and 362,142.40

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Solution

The fourth proportional to 488,113.60, 731,392.80 and 362,142.40 is: 542,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,113.60 : 731,392.80 = 362,142.40 : x
  2. Step 2: Convert to fraction form
    488,113.60/731,392.80 = 362,142.40/x
  3. Step 3: Cross multiply
    488,113.60x = 731,392.80 × 362,142.40
  4. Step 4: Simplify right side
    488,113.60x = 264,868,343,934.72
  5. Step 5: Solve for x
    x = 264,868,343,934.72/488,113.60
  6. Step 6: Final answer
    x = 542,636.68

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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.