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Finding the Fourth Proportional to 544,512.70, 817,643.85 and 411,543.10

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Solution

The fourth proportional to 544,512.70, 817,643.85 and 411,543.10 is: 617,975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,512.70 : 817,643.85 = 411,543.10 : x
  2. Step 2: Convert to fraction form
    544,512.70/817,643.85 = 411,543.10/x
  3. Step 3: Cross multiply
    544,512.70x = 817,643.85 × 411,543.10
  4. Step 4: Simplify right side
    544,512.70x = 336,495,684,724.94
  5. Step 5: Solve for x
    x = 336,495,684,724.94/544,512.70
  6. Step 6: Final answer
    x = 617,975.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.