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Finding the Fourth Proportional to 360,970.35, 498,144.95 and 197,624.10

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Solution

The fourth proportional to 360,970.35, 498,144.95 and 197,624.10 is: 272,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,970.35 : 498,144.95 = 197,624.10 : x
  2. Step 2: Convert to fraction form
    360,970.35/498,144.95 = 197,624.10/x
  3. Step 3: Cross multiply
    360,970.35x = 498,144.95 × 197,624.10
  4. Step 4: Simplify right side
    360,970.35x = 98,445,445,734.41
  5. Step 5: Solve for x
    x = 98,445,445,734.41/360,970.35
  6. Step 6: Final answer
    x = 272,724.47

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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.