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Finding the Fourth Proportional to 535,053.50, 738,373.65 and 293,330.88

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Solution

The fourth proportional to 535,053.50, 738,373.65 and 293,330.88 is: 404,796.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,053.50 : 738,373.65 = 293,330.88 : x
  2. Step 2: Convert to fraction form
    535,053.50/738,373.65 = 293,330.88/x
  3. Step 3: Cross multiply
    535,053.50x = 738,373.65 × 293,330.88
  4. Step 4: Simplify right side
    535,053.50x = 216,587,792,523.31
  5. Step 5: Solve for x
    x = 216,587,792,523.31/535,053.50
  6. Step 6: Final answer
    x = 404,796.52

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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.