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Finding the Fourth Proportional to 468,901.08, 647,084.14 and 254,041.15

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Solution

The fourth proportional to 468,901.08, 647,084.14 and 254,041.15 is: 350,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,901.08 : 647,084.14 = 254,041.15 : x
  2. Step 2: Convert to fraction form
    468,901.08/647,084.14 = 254,041.15/x
  3. Step 3: Cross multiply
    468,901.08x = 647,084.14 × 254,041.15
  4. Step 4: Simplify right side
    468,901.08x = 164,385,999,072.36
  5. Step 5: Solve for x
    x = 164,385,999,072.36/468,901.08
  6. Step 6: Final answer
    x = 350,577.14

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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.