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Finding the Fourth Proportional to 298,304.84, 447,392.46 and 98,577.92

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Solution

The fourth proportional to 298,304.84, 447,392.46 and 98,577.92 is: 147,845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,304.84 : 447,392.46 = 98,577.92 : x
  2. Step 2: Convert to fraction form
    298,304.84/447,392.46 = 98,577.92/x
  3. Step 3: Cross multiply
    298,304.84x = 447,392.46 × 98,577.92
  4. Step 4: Simplify right side
    298,304.84x = 44,103,018,130.48
  5. Step 5: Solve for x
    x = 44,103,018,130.48/298,304.84
  6. Step 6: Final answer
    x = 147,845.47

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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.