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Finding the Fourth Proportional to 469,706.75, 648,176.42 and 254,838.59

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Solution

The fourth proportional to 469,706.75, 648,176.42 and 254,838.59 is: 351,667.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,706.75 : 648,176.42 = 254,838.59 : x
  2. Step 2: Convert to fraction form
    469,706.75/648,176.42 = 254,838.59/x
  3. Step 3: Cross multiply
    469,706.75x = 648,176.42 × 254,838.59
  4. Step 4: Simplify right side
    469,706.75x = 165,180,363,669.86
  5. Step 5: Solve for x
    x = 165,180,363,669.86/469,706.75
  6. Step 6: Final answer
    x = 351,667.00

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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.