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Finding the Fourth Proportional to 523,212.56, 722,011.56 and 296,870.48

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Solution

The fourth proportional to 523,212.56, 722,011.56 and 296,870.48 is: 409,668.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,212.56 : 722,011.56 = 296,870.48 : x
  2. Step 2: Convert to fraction form
    523,212.56/722,011.56 = 296,870.48/x
  3. Step 3: Cross multiply
    523,212.56x = 722,011.56 × 296,870.48
  4. Step 4: Simplify right side
    523,212.56x = 214,343,918,382.75
  5. Step 5: Solve for x
    x = 214,343,918,382.75/523,212.56
  6. Step 6: Final answer
    x = 409,668.91

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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.