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Finding the Fourth Proportional to 470,353.76, 705,618.12 and 154,832.84

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Solution

The fourth proportional to 470,353.76, 705,618.12 and 154,832.84 is: 232,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,353.76 : 705,618.12 = 154,832.84 : x
  2. Step 2: Convert to fraction form
    470,353.76/705,618.12 = 154,832.84/x
  3. Step 3: Cross multiply
    470,353.76x = 705,618.12 × 154,832.84
  4. Step 4: Simplify right side
    470,353.76x = 109,252,857,475.06
  5. Step 5: Solve for x
    x = 109,252,857,475.06/470,353.76
  6. Step 6: Final answer
    x = 232,278.06

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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.