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Finding the Fourth Proportional to 310,005.64, 464,575.40 and 167,543.80

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Solution

The fourth proportional to 310,005.64, 464,575.40 and 167,543.80 is: 251,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,005.64 : 464,575.40 = 167,543.80 : x
  2. Step 2: Convert to fraction form
    310,005.64/464,575.40 = 167,543.80/x
  3. Step 3: Cross multiply
    310,005.64x = 464,575.40 × 167,543.80
  4. Step 4: Simplify right side
    310,005.64x = 77,836,727,902.52
  5. Step 5: Solve for x
    x = 77,836,727,902.52/310,005.64
  6. Step 6: Final answer
    x = 251,081.65

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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.