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Finding the Fourth Proportional to 425,098.53, 586,636.70 and 234,112.41

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Solution

The fourth proportional to 425,098.53, 586,636.70 and 234,112.41 is: 323,075.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,098.53 : 586,636.70 = 234,112.41 : x
  2. Step 2: Convert to fraction form
    425,098.53/586,636.70 = 234,112.41/x
  3. Step 3: Cross multiply
    425,098.53x = 586,636.70 × 234,112.41
  4. Step 4: Simplify right side
    425,098.53x = 137,338,930,460.89
  5. Step 5: Solve for x
    x = 137,338,930,460.89/425,098.53
  6. Step 6: Final answer
    x = 323,075.52

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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.