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Finding the Fourth Proportional to 397,455.24, 596,182.22 and 101,967.24

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Solution

The fourth proportional to 397,455.24, 596,182.22 and 101,967.24 is: 152,950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,455.24 : 596,182.22 = 101,967.24 : x
  2. Step 2: Convert to fraction form
    397,455.24/596,182.22 = 101,967.24/x
  3. Step 3: Cross multiply
    397,455.24x = 596,182.22 × 101,967.24
  4. Step 4: Simplify right side
    397,455.24x = 60,791,055,510.47
  5. Step 5: Solve for x
    x = 60,791,055,510.47/397,455.24
  6. Step 6: Final answer
    x = 152,950.70

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1.5x scale

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.