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Finding the Fourth Proportional to 469,064.16, 647,309.04 and 254,204.16

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Solution

The fourth proportional to 469,064.16, 647,309.04 and 254,204.16 is: 350,802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,064.16 : 647,309.04 = 254,204.16 : x
  2. Step 2: Convert to fraction form
    469,064.16/647,309.04 = 254,204.16/x
  3. Step 3: Cross multiply
    469,064.16x = 647,309.04 × 254,204.16
  4. Step 4: Simplify right side
    469,064.16x = 164,548,650,773.61
  5. Step 5: Solve for x
    x = 164,548,650,773.61/469,064.16
  6. Step 6: Final answer
    x = 350,802.01

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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.