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Finding the Fourth Proportional to 497,667.60, 746,501.40 and 272,941.20

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Solution

The fourth proportional to 497,667.60, 746,501.40 and 272,941.20 is: 409,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,667.60 : 746,501.40 = 272,941.20 : x
  2. Step 2: Convert to fraction form
    497,667.60/746,501.40 = 272,941.20/x
  3. Step 3: Cross multiply
    497,667.60x = 746,501.40 × 272,941.20
  4. Step 4: Simplify right side
    497,667.60x = 203,750,987,917.68
  5. Step 5: Solve for x
    x = 203,750,987,917.68/497,667.60
  6. Step 6: Final answer
    x = 409,411.80

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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.