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Finding the Fourth Proportional to 415,346.64, 622,605.88 and 175,521.03

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Solution

The fourth proportional to 415,346.64, 622,605.88 and 175,521.03 is: 263,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,346.64 : 622,605.88 = 175,521.03 : x
  2. Step 2: Convert to fraction form
    415,346.64/622,605.88 = 175,521.03/x
  3. Step 3: Cross multiply
    415,346.64x = 622,605.88 × 175,521.03
  4. Step 4: Simplify right side
    415,346.64x = 109,280,425,341.66
  5. Step 5: Solve for x
    x = 109,280,425,341.66/415,346.64
  6. Step 6: Final answer
    x = 263,106.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.