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Finding the Fourth Proportional to 477,117.24, 715,659.42 and 122,134.32

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Solution

The fourth proportional to 477,117.24, 715,659.42 and 122,134.32 is: 183,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,117.24 : 715,659.42 = 122,134.32 : x
  2. Step 2: Convert to fraction form
    477,117.24/715,659.42 = 122,134.32/x
  3. Step 3: Cross multiply
    477,117.24x = 715,659.42 × 122,134.32
  4. Step 4: Simplify right side
    477,117.24x = 87,406,576,613.29
  5. Step 5: Solve for x
    x = 87,406,576,613.29/477,117.24
  6. Step 6: Final answer
    x = 183,197.27

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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.