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Finding the Fourth Proportional to 431,030.30, 594,658.23 and 261,202.46

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Solution

The fourth proportional to 431,030.30, 594,658.23 and 261,202.46 is: 360,360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,030.30 : 594,658.23 = 261,202.46 : x
  2. Step 2: Convert to fraction form
    431,030.30/594,658.23 = 261,202.46/x
  3. Step 3: Cross multiply
    431,030.30x = 594,658.23 × 261,202.46
  4. Step 4: Simplify right side
    431,030.30x = 155,326,192,535.25
  5. Step 5: Solve for x
    x = 155,326,192,535.25/431,030.30
  6. Step 6: Final answer
    x = 360,360.26

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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.