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Finding the Fourth Proportional to 632,061.80, 946,710.30 and 490,711.40

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Solution

The fourth proportional to 632,061.80, 946,710.30 and 490,711.40 is: 734,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,061.80 : 946,710.30 = 490,711.40 : x
  2. Step 2: Convert to fraction form
    632,061.80/946,710.30 = 490,711.40/x
  3. Step 3: Cross multiply
    632,061.80x = 946,710.30 × 490,711.40
  4. Step 4: Simplify right side
    632,061.80x = 464,561,536,707.42
  5. Step 5: Solve for x
    x = 464,561,536,707.42/632,061.80
  6. Step 6: Final answer
    x = 734,993.85

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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.