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Finding the Fourth Proportional to 412,526.67, 569,319.61 and 242,793.60

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Solution

The fourth proportional to 412,526.67, 569,319.61 and 242,793.60 is: 335,074.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,526.67 : 569,319.61 = 242,793.60 : x
  2. Step 2: Convert to fraction form
    412,526.67/569,319.61 = 242,793.60/x
  3. Step 3: Cross multiply
    412,526.67x = 569,319.61 × 242,793.60
  4. Step 4: Simplify right side
    412,526.67x = 138,227,159,261.08
  5. Step 5: Solve for x
    x = 138,227,159,261.08/412,526.67
  6. Step 6: Final answer
    x = 335,074.48

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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.