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Finding the Fourth Proportional to 312,501.20, 466,007.65 and 309,659.46

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Solution

The fourth proportional to 312,501.20, 466,007.65 and 309,659.46 is: 461,769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,501.20 : 466,007.65 = 309,659.46 : x
  2. Step 2: Convert to fraction form
    312,501.20/466,007.65 = 309,659.46/x
  3. Step 3: Cross multiply
    312,501.20x = 466,007.65 × 309,659.46
  4. Step 4: Simplify right side
    312,501.20x = 144,303,677,254.87
  5. Step 5: Solve for x
    x = 144,303,677,254.87/312,501.20
  6. Step 6: Final answer
    x = 461,769.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.