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Finding the Fourth Proportional to 490,637.40, 735,956.10 and 322,675.80

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Solution

The fourth proportional to 490,637.40, 735,956.10 and 322,675.80 is: 484,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,637.40 : 735,956.10 = 322,675.80 : x
  2. Step 2: Convert to fraction form
    490,637.40/735,956.10 = 322,675.80/x
  3. Step 3: Cross multiply
    490,637.40x = 735,956.10 × 322,675.80
  4. Step 4: Simplify right side
    490,637.40x = 237,475,223,332.38
  5. Step 5: Solve for x
    x = 237,475,223,332.38/490,637.40
  6. Step 6: Final answer
    x = 484,013.70

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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.