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Finding the Fourth Proportional to 473,943.70, 654,042.36 and 259,084.72

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Solution

The fourth proportional to 473,943.70, 654,042.36 and 259,084.72 is: 357,536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,943.70 : 654,042.36 = 259,084.72 : x
  2. Step 2: Convert to fraction form
    473,943.70/654,042.36 = 259,084.72/x
  3. Step 3: Cross multiply
    473,943.70x = 654,042.36 × 259,084.72
  4. Step 4: Simplify right side
    473,943.70x = 169,452,381,708.74
  5. Step 5: Solve for x
    x = 169,452,381,708.74/473,943.70
  6. Step 6: Final answer
    x = 357,536.94

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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.