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Finding the Fourth Proportional to 334,856.40, 502,365.60 and 98,206.80

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Solution

The fourth proportional to 334,856.40, 502,365.60 and 98,206.80 is: 147,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,856.40 : 502,365.60 = 98,206.80 : x
  2. Step 2: Convert to fraction form
    334,856.40/502,365.60 = 98,206.80/x
  3. Step 3: Cross multiply
    334,856.40x = 502,365.60 × 98,206.80
  4. Step 4: Simplify right side
    334,856.40x = 49,335,718,006.08
  5. Step 5: Solve for x
    x = 49,335,718,006.08/334,856.40
  6. Step 6: Final answer
    x = 147,333.96

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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.