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Finding the Fourth Proportional to 469,012.01, 647,233.88 and 254,152.08

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Solution

The fourth proportional to 469,012.01, 647,233.88 and 254,152.08 is: 350,728.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,012.01 : 647,233.88 = 254,152.08 : x
  2. Step 2: Convert to fraction form
    469,012.01/647,233.88 = 254,152.08/x
  3. Step 3: Cross multiply
    469,012.01x = 647,233.88 × 254,152.08
  4. Step 4: Simplify right side
    469,012.01x = 164,495,835,577.71
  5. Step 5: Solve for x
    x = 164,495,835,577.71/469,012.01
  6. Step 6: Final answer
    x = 350,728.41

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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.