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Finding the Fourth Proportional to 413,888.31, 571,066.10 and 241,708.55

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Solution

The fourth proportional to 413,888.31, 571,066.10 and 241,708.55 is: 333,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,888.31 : 571,066.10 = 241,708.55 : x
  2. Step 2: Convert to fraction form
    413,888.31/571,066.10 = 241,708.55/x
  3. Step 3: Cross multiply
    413,888.31x = 571,066.10 × 241,708.55
  4. Step 4: Simplify right side
    413,888.31x = 138,031,554,921.28
  5. Step 5: Solve for x
    x = 138,031,554,921.28/413,888.31
  6. Step 6: Final answer
    x = 333,499.53

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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.