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Finding the Fourth Proportional to 534,782.34, 738,005.46 and 293,059.74

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Solution

The fourth proportional to 534,782.34, 738,005.46 and 293,059.74 is: 404,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,782.34 : 738,005.46 = 293,059.74 : x
  2. Step 2: Convert to fraction form
    534,782.34/738,005.46 = 293,059.74/x
  3. Step 3: Cross multiply
    534,782.34x = 738,005.46 × 293,059.74
  4. Step 4: Simplify right side
    534,782.34x = 216,279,688,226.18
  5. Step 5: Solve for x
    x = 216,279,688,226.18/534,782.34
  6. Step 6: Final answer
    x = 404,425.64

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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.