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Finding the Fourth Proportional to 310,007.64, 464,578.40 and 167,545.80

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Solution

The fourth proportional to 310,007.64, 464,578.40 and 167,545.80 is: 251,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,007.64 : 464,578.40 = 167,545.80 : x
  2. Step 2: Convert to fraction form
    310,007.64/464,578.40 = 167,545.80/x
  3. Step 3: Cross multiply
    310,007.64x = 464,578.40 × 167,545.80
  4. Step 4: Simplify right side
    310,007.64x = 77,838,159,690.72
  5. Step 5: Solve for x
    x = 77,838,159,690.72/310,007.64
  6. Step 6: Final answer
    x = 251,084.65

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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.