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Finding the Fourth Proportional to 298,298.84, 447,518.36 and 98,619.24

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Solution

The fourth proportional to 298,298.84, 447,518.36 and 98,619.24 is: 147,952.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,298.84 : 447,518.36 = 98,619.24 : x
  2. Step 2: Convert to fraction form
    298,298.84/447,518.36 = 98,619.24/x
  3. Step 3: Cross multiply
    298,298.84x = 447,518.36 × 98,619.24
  4. Step 4: Simplify right side
    298,298.84x = 44,133,920,549.25
  5. Step 5: Solve for x
    x = 44,133,920,549.25/298,298.84
  6. Step 6: Final answer
    x = 147,952.04

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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.