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Finding the Fourth Proportional to 535,305.80, 738,719.88 and 293,582

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Solution

The fourth proportional to 535,305.80, 738,719.88 and 293,582 is: 405,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,305.80 : 738,719.88 = 293,582 : x
  2. Step 2: Convert to fraction form
    535,305.80/738,719.88 = 293,582/x
  3. Step 3: Cross multiply
    535,305.80x = 738,719.88 × 293,582
  4. Step 4: Simplify right side
    535,305.80x = 216,874,859,810.16
  5. Step 5: Solve for x
    x = 216,874,859,810.16/535,305.80
  6. Step 6: Final answer
    x = 405,142.00

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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.