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Finding the Fourth Proportional to 497,854.60, 746,684.70 and 165,430.60

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Solution

The fourth proportional to 497,854.60, 746,684.70 and 165,430.60 is: 248,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,854.60 : 746,684.70 = 165,430.60 : x
  2. Step 2: Convert to fraction form
    497,854.60/746,684.70 = 165,430.60/x
  3. Step 3: Cross multiply
    497,854.60x = 746,684.70 × 165,430.60
  4. Step 4: Simplify right side
    497,854.60x = 123,524,497,931.82
  5. Step 5: Solve for x
    x = 123,524,497,931.82/497,854.60
  6. Step 6: Final answer
    x = 248,113.60

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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.