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Finding the Fourth Proportional to 359,472.53, 496,130.27 and 214,296.13

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Solution

The fourth proportional to 359,472.53, 496,130.27 and 214,296.13 is: 295,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,472.53 : 496,130.27 = 214,296.13 : x
  2. Step 2: Convert to fraction form
    359,472.53/496,130.27 = 214,296.13/x
  3. Step 3: Cross multiply
    359,472.53x = 496,130.27 × 214,296.13
  4. Step 4: Simplify right side
    359,472.53x = 106,318,796,385.54
  5. Step 5: Solve for x
    x = 106,318,796,385.54/359,472.53
  6. Step 6: Final answer
    x = 295,763.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.