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Finding the Fourth Proportional to 425,250, 586,845 and 234,263.34

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Solution

The fourth proportional to 425,250, 586,845 and 234,263.34 is: 323,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,250 : 586,845 = 234,263.34 : x
  2. Step 2: Convert to fraction form
    425,250/586,845 = 234,263.34/x
  3. Step 3: Cross multiply
    425,250x = 586,845 × 234,263.34
  4. Step 4: Simplify right side
    425,250x = 137,476,269,762.30
  5. Step 5: Solve for x
    x = 137,476,269,762.30/425,250
  6. Step 6: Final answer
    x = 323,283.41

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1.5x scale

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.