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Finding the Fourth Proportional to 469,881.84, 648,443.16 and 255,024.48

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Solution

The fourth proportional to 469,881.84, 648,443.16 and 255,024.48 is: 351,937.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,881.84 : 648,443.16 = 255,024.48 : x
  2. Step 2: Convert to fraction form
    469,881.84/648,443.16 = 255,024.48/x
  3. Step 3: Cross multiply
    469,881.84x = 648,443.16 × 255,024.48
  4. Step 4: Simplify right side
    469,881.84x = 165,368,879,688.56
  5. Step 5: Solve for x
    x = 165,368,879,688.56/469,881.84
  6. Step 6: Final answer
    x = 351,937.16

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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.