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Finding the Fourth Proportional to 298,081.52, 447,166.74 and 98,423

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Solution

The fourth proportional to 298,081.52, 447,166.74 and 98,423 is: 147,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,081.52 : 447,166.74 = 98,423 : x
  2. Step 2: Convert to fraction form
    298,081.52/447,166.74 = 98,423/x
  3. Step 3: Cross multiply
    298,081.52x = 447,166.74 × 98,423
  4. Step 4: Simplify right side
    298,081.52x = 44,011,492,051.02
  5. Step 5: Solve for x
    x = 44,011,492,051.02/298,081.52
  6. Step 6: Final answer
    x = 147,649.18

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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.