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Finding the Fourth Proportional to 456,429.60, 684,644.40 and 453,805.20

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Solution

The fourth proportional to 456,429.60, 684,644.40 and 453,805.20 is: 680,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,429.60 : 684,644.40 = 453,805.20 : x
  2. Step 2: Convert to fraction form
    456,429.60/684,644.40 = 453,805.20/x
  3. Step 3: Cross multiply
    456,429.60x = 684,644.40 × 453,805.20
  4. Step 4: Simplify right side
    456,429.60x = 310,695,188,870.88
  5. Step 5: Solve for x
    x = 310,695,188,870.88/456,429.60
  6. Step 6: Final answer
    x = 680,707.80

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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.