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Finding the Fourth Proportional to 468,719.76, 646,830.05 and 253,854.91

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Solution

The fourth proportional to 468,719.76, 646,830.05 and 253,854.91 is: 350,318.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,719.76 : 646,830.05 = 253,854.91 : x
  2. Step 2: Convert to fraction form
    468,719.76/646,830.05 = 253,854.91/x
  3. Step 3: Cross multiply
    468,719.76x = 646,830.05 × 253,854.91
  4. Step 4: Simplify right side
    468,719.76x = 164,200,984,128.05
  5. Step 5: Solve for x
    x = 164,200,984,128.05/468,719.76
  6. Step 6: Final answer
    x = 350,318.03

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Why These Related Problems?

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