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Finding the Fourth Proportional to 381,343.51, 526,252.60 and 209,264.33

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Solution

The fourth proportional to 381,343.51, 526,252.60 and 209,264.33 is: 288,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,343.51 : 526,252.60 = 209,264.33 : x
  2. Step 2: Convert to fraction form
    381,343.51/526,252.60 = 209,264.33/x
  3. Step 3: Cross multiply
    381,343.51x = 526,252.60 × 209,264.33
  4. Step 4: Simplify right side
    381,343.51x = 110,125,895,189.69
  5. Step 5: Solve for x
    x = 110,125,895,189.69/381,343.51
  6. Step 6: Final answer
    x = 288,783.98

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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.