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Finding the Fourth Proportional to 334,700.34, 461,496.24 and 249,669.78

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Solution

The fourth proportional to 334,700.34, 461,496.24 and 249,669.78 is: 344,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,700.34 : 461,496.24 = 249,669.78 : x
  2. Step 2: Convert to fraction form
    334,700.34/461,496.24 = 249,669.78/x
  3. Step 3: Cross multiply
    334,700.34x = 461,496.24 × 249,669.78
  4. Step 4: Simplify right side
    334,700.34x = 115,221,664,711.63
  5. Step 5: Solve for x
    x = 115,221,664,711.63/334,700.34
  6. Step 6: Final answer
    x = 344,253.20

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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.