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Finding the Fourth Proportional to 819,316.32, 1,228,708.53 and 313,850.40

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Solution

The fourth proportional to 819,316.32, 1,228,708.53 and 313,850.40 is: 470,673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,316.32 : 1,228,708.53 = 313,850.40 : x
  2. Step 2: Convert to fraction form
    819,316.32/1,228,708.53 = 313,850.40/x
  3. Step 3: Cross multiply
    819,316.32x = 1,228,708.53 × 313,850.40
  4. Step 4: Simplify right side
    819,316.32x = 385,630,663,623.91
  5. Step 5: Solve for x
    x = 385,630,663,623.91/819,316.32
  6. Step 6: Final answer
    x = 470,673.72

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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.