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Finding the Fourth Proportional to 541,256.32, 746,935.14 and 299,555.56

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Solution

The fourth proportional to 541,256.32, 746,935.14 and 299,555.56 is: 413,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,256.32 : 746,935.14 = 299,555.56 : x
  2. Step 2: Convert to fraction form
    541,256.32/746,935.14 = 299,555.56/x
  3. Step 3: Cross multiply
    541,256.32x = 746,935.14 × 299,555.56
  4. Step 4: Simplify right side
    541,256.32x = 223,748,574,146.38
  5. Step 5: Solve for x
    x = 223,748,574,146.38/541,256.32
  6. Step 6: Final answer
    x = 413,387.46

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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.