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Finding the Fourth Proportional to 470,116.84, 705,025.48 and 154,500.88

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Solution

The fourth proportional to 470,116.84, 705,025.48 and 154,500.88 is: 231,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,116.84 : 705,025.48 = 154,500.88 : x
  2. Step 2: Convert to fraction form
    470,116.84/705,025.48 = 154,500.88/x
  3. Step 3: Cross multiply
    470,116.84x = 705,025.48 × 154,500.88
  4. Step 4: Simplify right side
    470,116.84x = 108,927,057,082.42
  5. Step 5: Solve for x
    x = 108,927,057,082.42/470,116.84
  6. Step 6: Final answer
    x = 231,702.10

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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.