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Finding the Fourth Proportional to 422,657.84, 583,327.60 and 261,564.76

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Solution

The fourth proportional to 422,657.84, 583,327.60 and 261,564.76 is: 360,996.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,657.84 : 583,327.60 = 261,564.76 : x
  2. Step 2: Convert to fraction form
    422,657.84/583,327.60 = 261,564.76/x
  3. Step 3: Cross multiply
    422,657.84x = 583,327.60 × 261,564.76
  4. Step 4: Simplify right side
    422,657.84x = 152,577,943,695.38
  5. Step 5: Solve for x
    x = 152,577,943,695.38/422,657.84
  6. Step 6: Final answer
    x = 360,996.36

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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.