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Finding the Fourth Proportional to 490,521, 735,384.33 and 153,388.02

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Solution

The fourth proportional to 490,521, 735,384.33 and 153,388.02 is: 229,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,521 : 735,384.33 = 153,388.02 : x
  2. Step 2: Convert to fraction form
    490,521/735,384.33 = 153,388.02/x
  3. Step 3: Cross multiply
    490,521x = 735,384.33 × 153,388.02
  4. Step 4: Simplify right side
    490,521x = 112,799,146,317.73
  5. Step 5: Solve for x
    x = 112,799,146,317.73/490,521
  6. Step 6: Final answer
    x = 229,957.83

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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.