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Finding the Fourth Proportional to 359,414.15, 496,150.95 and 232,151.81

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Solution

The fourth proportional to 359,414.15, 496,150.95 and 232,151.81 is: 320,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,414.15 : 496,150.95 = 232,151.81 : x
  2. Step 2: Convert to fraction form
    359,414.15/496,150.95 = 232,151.81/x
  3. Step 3: Cross multiply
    359,414.15x = 496,150.95 × 232,151.81
  4. Step 4: Simplify right side
    359,414.15x = 115,182,341,075.72
  5. Step 5: Solve for x
    x = 115,182,341,075.72/359,414.15
  6. Step 6: Final answer
    x = 320,472.47

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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.