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Finding the Fourth Proportional to 313,488.16, 432,613.56 and 170,248.24

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Solution

The fourth proportional to 313,488.16, 432,613.56 and 170,248.24 is: 234,942.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,488.16 : 432,613.56 = 170,248.24 : x
  2. Step 2: Convert to fraction form
    313,488.16/432,613.56 = 170,248.24/x
  3. Step 3: Cross multiply
    313,488.16x = 432,613.56 × 170,248.24
  4. Step 4: Simplify right side
    313,488.16x = 73,651,697,190.13
  5. Step 5: Solve for x
    x = 73,651,697,190.13/313,488.16
  6. Step 6: Final answer
    x = 234,942.52

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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.