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Finding the Fourth Proportional to 419,046.85, 578,345.60 and 235,306.05

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Solution

The fourth proportional to 419,046.85, 578,345.60 and 235,306.05 is: 324,756.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,046.85 : 578,345.60 = 235,306.05 : x
  2. Step 2: Convert to fraction form
    419,046.85/578,345.60 = 235,306.05/x
  3. Step 3: Cross multiply
    419,046.85x = 578,345.60 × 235,306.05
  4. Step 4: Simplify right side
    419,046.85x = 136,088,214,602.62
  5. Step 5: Solve for x
    x = 136,088,214,602.62/419,046.85
  6. Step 6: Final answer
    x = 324,756.56

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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.