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Finding the Fourth Proportional to 431,055.40, 646,543.20 and 203,298.76

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Solution

The fourth proportional to 431,055.40, 646,543.20 and 203,298.76 is: 304,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,055.40 : 646,543.20 = 203,298.76 : x
  2. Step 2: Convert to fraction form
    431,055.40/646,543.20 = 203,298.76/x
  3. Step 3: Cross multiply
    431,055.40x = 646,543.20 × 203,298.76
  4. Step 4: Simplify right side
    431,055.40x = 131,441,430,846.43
  5. Step 5: Solve for x
    x = 131,441,430,846.43/431,055.40
  6. Step 6: Final answer
    x = 304,929.32

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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.