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Finding the Fourth Proportional to 298,209.52, 447,219.51 and 98,492.68

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Solution

The fourth proportional to 298,209.52, 447,219.51 and 98,492.68 is: 147,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,209.52 : 447,219.51 = 98,492.68 : x
  2. Step 2: Convert to fraction form
    298,209.52/447,219.51 = 98,492.68/x
  3. Step 3: Cross multiply
    298,209.52x = 447,219.51 × 98,492.68
  4. Step 4: Simplify right side
    298,209.52x = 44,047,848,088.19
  5. Step 5: Solve for x
    x = 44,047,848,088.19/298,209.52
  6. Step 6: Final answer
    x = 147,707.72

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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.