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Finding the Fourth Proportional to 469,864.17, 648,407.16 and 255,004.38

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Solution

The fourth proportional to 469,864.17, 648,407.16 and 255,004.38 is: 351,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,864.17 : 648,407.16 = 255,004.38 : x
  2. Step 2: Convert to fraction form
    469,864.17/648,407.16 = 255,004.38/x
  3. Step 3: Cross multiply
    469,864.17x = 648,407.16 × 255,004.38
  4. Step 4: Simplify right side
    469,864.17x = 165,346,665,823.36
  5. Step 5: Solve for x
    x = 165,346,665,823.36/469,864.17
  6. Step 6: Final answer
    x = 351,903.12

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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.