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Finding the Fourth Proportional to 410,298.88, 613,829.52 and 310,746.88

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Solution

The fourth proportional to 410,298.88, 613,829.52 and 310,746.88 is: 464,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,298.88 : 613,829.52 = 310,746.88 : x
  2. Step 2: Convert to fraction form
    410,298.88/613,829.52 = 310,746.88/x
  3. Step 3: Cross multiply
    410,298.88x = 613,829.52 × 310,746.88
  4. Step 4: Simplify right side
    410,298.88x = 190,745,608,191.90
  5. Step 5: Solve for x
    x = 190,745,608,191.90/410,298.88
  6. Step 6: Final answer
    x = 464,894.29

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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.