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Finding the Fourth Proportional to 470,216.93, 649,097.92 and 317,461.95

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Solution

The fourth proportional to 470,216.93, 649,097.92 and 317,461.95 is: 438,231.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,216.93 : 649,097.92 = 317,461.95 : x
  2. Step 2: Convert to fraction form
    470,216.93/649,097.92 = 317,461.95/x
  3. Step 3: Cross multiply
    470,216.93x = 649,097.92 × 317,461.95
  4. Step 4: Simplify right side
    470,216.93x = 206,063,892,253.23
  5. Step 5: Solve for x
    x = 206,063,892,253.23/470,216.93
  6. Step 6: Final answer
    x = 438,231.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.