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Finding the Fourth Proportional to 470,376.88, 705,509.38 and 154,755.52

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Solution

The fourth proportional to 470,376.88, 705,509.38 and 154,755.52 is: 232,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,376.88 : 705,509.38 = 154,755.52 : x
  2. Step 2: Convert to fraction form
    470,376.88/705,509.38 = 154,755.52/x
  3. Step 3: Cross multiply
    470,376.88x = 705,509.38 × 154,755.52
  4. Step 4: Simplify right side
    470,376.88x = 109,181,470,966.78
  5. Step 5: Solve for x
    x = 109,181,470,966.78/470,376.88
  6. Step 6: Final answer
    x = 232,114.88

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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.