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Finding the Fourth Proportional to 408,113.63, 563,353.75 and 272,097.96

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Solution

The fourth proportional to 408,113.63, 563,353.75 and 272,097.96 is: 375,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,113.63 : 563,353.75 = 272,097.96 : x
  2. Step 2: Convert to fraction form
    408,113.63/563,353.75 = 272,097.96/x
  3. Step 3: Cross multiply
    408,113.63x = 563,353.75 × 272,097.96
  4. Step 4: Simplify right side
    408,113.63x = 153,287,406,133.35
  5. Step 5: Solve for x
    x = 153,287,406,133.35/408,113.63
  6. Step 6: Final answer
    x = 375,599.82

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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.