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Finding the Fourth Proportional to 315,506.62, 435,397.44 and 172,266.76

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Solution

The fourth proportional to 315,506.62, 435,397.44 and 172,266.76 is: 237,727.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,506.62 : 435,397.44 = 172,266.76 : x
  2. Step 2: Convert to fraction form
    315,506.62/435,397.44 = 172,266.76/x
  3. Step 3: Cross multiply
    315,506.62x = 435,397.44 × 172,266.76
  4. Step 4: Simplify right side
    315,506.62x = 75,004,506,301.09
  5. Step 5: Solve for x
    x = 75,004,506,301.09/315,506.62
  6. Step 6: Final answer
    x = 237,727.20

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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.