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Finding the Fourth Proportional to 497,500.04, 746,030.46 and 142,433.48

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Solution

The fourth proportional to 497,500.04, 746,030.46 and 142,433.48 is: 213,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,500.04 : 746,030.46 = 142,433.48 : x
  2. Step 2: Convert to fraction form
    497,500.04/746,030.46 = 142,433.48/x
  3. Step 3: Cross multiply
    497,500.04x = 746,030.46 × 142,433.48
  4. Step 4: Simplify right side
    497,500.04x = 106,259,714,603.80
  5. Step 5: Solve for x
    x = 106,259,714,603.80/497,500.04
  6. Step 6: Final answer
    x = 213,587.35

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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.