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Finding the Fourth Proportional to 650,973.42, 976,524.71 and 272,012.62

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Solution

The fourth proportional to 650,973.42, 976,524.71 and 272,012.62 is: 408,045.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,973.42 : 976,524.71 = 272,012.62 : x
  2. Step 2: Convert to fraction form
    650,973.42/976,524.71 = 272,012.62/x
  3. Step 3: Cross multiply
    650,973.42x = 976,524.71 × 272,012.62
  4. Step 4: Simplify right side
    650,973.42x = 265,627,044,861.84
  5. Step 5: Solve for x
    x = 265,627,044,861.84/650,973.42
  6. Step 6: Final answer
    x = 408,045.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.