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Finding the Fourth Proportional to 642,003.80, 965,079.30 and 456,301.40

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Solution

The fourth proportional to 642,003.80, 965,079.30 and 456,301.40 is: 685,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,003.80 : 965,079.30 = 456,301.40 : x
  2. Step 2: Convert to fraction form
    642,003.80/965,079.30 = 456,301.40/x
  3. Step 3: Cross multiply
    642,003.80x = 965,079.30 × 456,301.40
  4. Step 4: Simplify right side
    642,003.80x = 440,367,035,701.02
  5. Step 5: Solve for x
    x = 440,367,035,701.02/642,003.80
  6. Step 6: Final answer
    x = 685,925.90

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