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Finding the Fourth Proportional to 468,284.79, 702,426.28 and 361,823.46

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Solution

The fourth proportional to 468,284.79, 702,426.28 and 361,823.46 is: 542,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,284.79 : 702,426.28 = 361,823.46 : x
  2. Step 2: Convert to fraction form
    468,284.79/702,426.28 = 361,823.46/x
  3. Step 3: Cross multiply
    468,284.79x = 702,426.28 × 361,823.46
  4. Step 4: Simplify right side
    468,284.79x = 254,154,304,164.29
  5. Step 5: Solve for x
    x = 254,154,304,164.29/468,284.79
  6. Step 6: Final answer
    x = 542,734.48

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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.