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Finding the Fourth Proportional to 338,414.76, 507,596.73 and 98,530.50

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Solution

The fourth proportional to 338,414.76, 507,596.73 and 98,530.50 is: 147,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,414.76 : 507,596.73 = 98,530.50 : x
  2. Step 2: Convert to fraction form
    338,414.76/507,596.73 = 98,530.50/x
  3. Step 3: Cross multiply
    338,414.76x = 507,596.73 × 98,530.50
  4. Step 4: Simplify right side
    338,414.76x = 50,013,759,605.27
  5. Step 5: Solve for x
    x = 50,013,759,605.27/338,414.76
  6. Step 6: Final answer
    x = 147,788.35

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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.