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Finding the Fourth Proportional to 417,044.54, 573,970.05 and 343,862.05

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Solution

The fourth proportional to 417,044.54, 573,970.05 and 343,862.05 is: 473,250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,044.54 : 573,970.05 = 343,862.05 : x
  2. Step 2: Convert to fraction form
    417,044.54/573,970.05 = 343,862.05/x
  3. Step 3: Cross multiply
    417,044.54x = 573,970.05 × 343,862.05
  4. Step 4: Simplify right side
    417,044.54x = 197,366,516,596.68
  5. Step 5: Solve for x
    x = 197,366,516,596.68/417,044.54
  6. Step 6: Final answer
    x = 473,250.46

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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.