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Finding the Fourth Proportional to 413,732.60, 620,598.90 and 147,501.80

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Solution

The fourth proportional to 413,732.60, 620,598.90 and 147,501.80 is: 221,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,732.60 : 620,598.90 = 147,501.80 : x
  2. Step 2: Convert to fraction form
    413,732.60/620,598.90 = 147,501.80/x
  3. Step 3: Cross multiply
    413,732.60x = 620,598.90 × 147,501.80
  4. Step 4: Simplify right side
    413,732.60x = 91,539,454,828.02
  5. Step 5: Solve for x
    x = 91,539,454,828.02/413,732.60
  6. Step 6: Final answer
    x = 221,252.70

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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.