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Finding the Fourth Proportional to 397,549.60, 596,151.60 and 117,008.80

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Solution

The fourth proportional to 397,549.60, 596,151.60 and 117,008.80 is: 175,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,549.60 : 596,151.60 = 117,008.80 : x
  2. Step 2: Convert to fraction form
    397,549.60/596,151.60 = 117,008.80/x
  3. Step 3: Cross multiply
    397,549.60x = 596,151.60 × 117,008.80
  4. Step 4: Simplify right side
    397,549.60x = 69,754,983,334.08
  5. Step 5: Solve for x
    x = 69,754,983,334.08/397,549.60
  6. Step 6: Final answer
    x = 175,462.34

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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.