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Finding the Fourth Proportional to 372,005.84, 513,346.26 and 202,238.48

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Solution

The fourth proportional to 372,005.84, 513,346.26 and 202,238.48 is: 279,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,005.84 : 513,346.26 = 202,238.48 : x
  2. Step 2: Convert to fraction form
    372,005.84/513,346.26 = 202,238.48/x
  3. Step 3: Cross multiply
    372,005.84x = 513,346.26 × 202,238.48
  4. Step 4: Simplify right side
    372,005.84x = 103,818,367,336.09
  5. Step 5: Solve for x
    x = 103,818,367,336.09/372,005.84
  6. Step 6: Final answer
    x = 279,077.25

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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.