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Finding the Fourth Proportional to 390,072.30, 584,124.30 and 311,340.30

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Solution

The fourth proportional to 390,072.30, 584,124.30 and 311,340.30 is: 466,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,072.30 : 584,124.30 = 311,340.30 : x
  2. Step 2: Convert to fraction form
    390,072.30/584,124.30 = 311,340.30/x
  3. Step 3: Cross multiply
    390,072.30x = 584,124.30 × 311,340.30
  4. Step 4: Simplify right side
    390,072.30x = 181,861,434,799.29
  5. Step 5: Solve for x
    x = 181,861,434,799.29/390,072.30
  6. Step 6: Final answer
    x = 466,224.94

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Why These Related Problems?

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