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Finding the Fourth Proportional to 425,698.31, 589,999.49 and 417,726.70

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Solution

The fourth proportional to 425,698.31, 589,999.49 and 417,726.70 is: 578,951.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,698.31 : 589,999.49 = 417,726.70 : x
  2. Step 2: Convert to fraction form
    425,698.31/589,999.49 = 417,726.70/x
  3. Step 3: Cross multiply
    425,698.31x = 589,999.49 × 417,726.70
  4. Step 4: Simplify right side
    425,698.31x = 246,458,537,009.39
  5. Step 5: Solve for x
    x = 246,458,537,009.39/425,698.31
  6. Step 6: Final answer
    x = 578,951.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.