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Finding the Fourth Proportional to 335,713.80, 503,570.70 and 319,384.20

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Solution

The fourth proportional to 335,713.80, 503,570.70 and 319,384.20 is: 479,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,713.80 : 503,570.70 = 319,384.20 : x
  2. Step 2: Convert to fraction form
    335,713.80/503,570.70 = 319,384.20/x
  3. Step 3: Cross multiply
    335,713.80x = 503,570.70 × 319,384.20
  4. Step 4: Simplify right side
    335,713.80x = 160,832,525,162.94
  5. Step 5: Solve for x
    x = 160,832,525,162.94/335,713.80
  6. Step 6: Final answer
    x = 479,076.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.