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Finding the Fourth Proportional to 412,036.00, 567,287.84 and 321,275.50

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Solution

The fourth proportional to 412,036.00, 567,287.84 and 321,275.50 is: 442,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,036.00 : 567,287.84 = 321,275.50 : x
  2. Step 2: Convert to fraction form
    412,036.00/567,287.84 = 321,275.50/x
  3. Step 3: Cross multiply
    412,036.00x = 567,287.84 × 321,275.50
  4. Step 4: Simplify right side
    412,036.00x = 182,255,683,824.89
  5. Step 5: Solve for x
    x = 182,255,683,824.89/412,036.00
  6. Step 6: Final answer
    x = 442,329.52

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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.