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Finding the Fourth Proportional to 334,864.68, 502,301.16 and 98,212.24

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Solution

The fourth proportional to 334,864.68, 502,301.16 and 98,212.24 is: 147,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,864.68 : 502,301.16 = 98,212.24 : x
  2. Step 2: Convert to fraction form
    334,864.68/502,301.16 = 98,212.24/x
  3. Step 3: Cross multiply
    334,864.68x = 502,301.16 × 98,212.24
  4. Step 4: Simplify right side
    334,864.68x = 49,332,122,078.20
  5. Step 5: Solve for x
    x = 49,332,122,078.20/334,864.68
  6. Step 6: Final answer
    x = 147,319.57

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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.