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Finding the Fourth Proportional to 456,064.20, 684,290.70 and 287,713.80

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Solution

The fourth proportional to 456,064.20, 684,290.70 and 287,713.80 is: 431,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,064.20 : 684,290.70 = 287,713.80 : x
  2. Step 2: Convert to fraction form
    456,064.20/684,290.70 = 287,713.80/x
  3. Step 3: Cross multiply
    456,064.20x = 684,290.70 × 287,713.80
  4. Step 4: Simplify right side
    456,064.20x = 196,879,877,601.66
  5. Step 5: Solve for x
    x = 196,879,877,601.66/456,064.20
  6. Step 6: Final answer
    x = 431,693.34

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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.