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Finding the Fourth Proportional to 470,445.89, 704,979.90 and 233,314.97

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Solution

The fourth proportional to 470,445.89, 704,979.90 and 233,314.97 is: 349,630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,445.89 : 704,979.90 = 233,314.97 : x
  2. Step 2: Convert to fraction form
    470,445.89/704,979.90 = 233,314.97/x
  3. Step 3: Cross multiply
    470,445.89x = 704,979.90 × 233,314.97
  4. Step 4: Simplify right side
    470,445.89x = 164,482,360,694.20
  5. Step 5: Solve for x
    x = 164,482,360,694.20/470,445.89
  6. Step 6: Final answer
    x = 349,630.78

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1.5x scale

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.