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Finding the Fourth Proportional to 535,034.76, 738,343.26 and 293,312.94

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Solution

The fourth proportional to 535,034.76, 738,343.26 and 293,312.94 is: 404,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,034.76 : 738,343.26 = 293,312.94 : x
  2. Step 2: Convert to fraction form
    535,034.76/738,343.26 = 293,312.94/x
  3. Step 3: Cross multiply
    535,034.76x = 738,343.26 × 293,312.94
  4. Step 4: Simplify right side
    535,034.76x = 216,565,632,319.78
  5. Step 5: Solve for x
    x = 216,565,632,319.78/535,034.76
  6. Step 6: Final answer
    x = 404,769.28

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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.