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Finding the Fourth Proportional to 564,234.24, 778,648.56 and 309,594.60

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Solution

The fourth proportional to 564,234.24, 778,648.56 and 309,594.60 is: 427,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,234.24 : 778,648.56 = 309,594.60 : x
  2. Step 2: Convert to fraction form
    564,234.24/778,648.56 = 309,594.60/x
  3. Step 3: Cross multiply
    564,234.24x = 778,648.56 × 309,594.60
  4. Step 4: Simplify right side
    564,234.24x = 241,065,389,473.78
  5. Step 5: Solve for x
    x = 241,065,389,473.78/564,234.24
  6. Step 6: Final answer
    x = 427,243.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.