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Finding the Fourth Proportional to 461,744.40, 692,551.80 and 146,233.20

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Solution

The fourth proportional to 461,744.40, 692,551.80 and 146,233.20 is: 219,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,744.40 : 692,551.80 = 146,233.20 : x
  2. Step 2: Convert to fraction form
    461,744.40/692,551.80 = 146,233.20/x
  3. Step 3: Cross multiply
    461,744.40x = 692,551.80 × 146,233.20
  4. Step 4: Simplify right side
    461,744.40x = 101,274,065,879.76
  5. Step 5: Solve for x
    x = 101,274,065,879.76/461,744.40
  6. Step 6: Final answer
    x = 219,329.28

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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.