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Finding the Fourth Proportional to 650,557.49, 897,750.06 and 360,182

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Solution

The fourth proportional to 650,557.49, 897,750.06 and 360,182 is: 497,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,557.49 : 897,750.06 = 360,182 : x
  2. Step 2: Convert to fraction form
    650,557.49/897,750.06 = 360,182/x
  3. Step 3: Cross multiply
    650,557.49x = 897,750.06 × 360,182
  4. Step 4: Simplify right side
    650,557.49x = 323,353,412,110.92
  5. Step 5: Solve for x
    x = 323,353,412,110.92/650,557.49
  6. Step 6: Final answer
    x = 497,040.49

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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.