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Finding the Fourth Proportional to 464,731.26, 696,208.26 and 314,232.85

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Solution

The fourth proportional to 464,731.26, 696,208.26 and 314,232.85 is: 470,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,731.26 : 696,208.26 = 314,232.85 : x
  2. Step 2: Convert to fraction form
    464,731.26/696,208.26 = 314,232.85/x
  3. Step 3: Cross multiply
    464,731.26x = 696,208.26 × 314,232.85
  4. Step 4: Simplify right side
    464,731.26x = 218,771,507,781.98
  5. Step 5: Solve for x
    x = 218,771,507,781.98/464,731.26
  6. Step 6: Final answer
    x = 470,748.43

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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.