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Finding the Fourth Proportional to 298,076.02, 447,158.49 and 98,417.50

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Solution

The fourth proportional to 298,076.02, 447,158.49 and 98,417.50 is: 147,640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,076.02 : 447,158.49 = 98,417.50 : x
  2. Step 2: Convert to fraction form
    298,076.02/447,158.49 = 98,417.50/x
  3. Step 3: Cross multiply
    298,076.02x = 447,158.49 × 98,417.50
  4. Step 4: Simplify right side
    298,076.02x = 44,008,220,689.58
  5. Step 5: Solve for x
    x = 44,008,220,689.58/298,076.02
  6. Step 6: Final answer
    x = 147,640.93

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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.