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Finding the Fourth Proportional to 468,140.70, 646,034.31 and 253,280.64

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Solution

The fourth proportional to 468,140.70, 646,034.31 and 253,280.64 is: 349,527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,140.70 : 646,034.31 = 253,280.64 : x
  2. Step 2: Convert to fraction form
    468,140.70/646,034.31 = 253,280.64/x
  3. Step 3: Cross multiply
    468,140.70x = 646,034.31 × 253,280.64
  4. Step 4: Simplify right side
    468,140.70x = 163,627,983,498.76
  5. Step 5: Solve for x
    x = 163,627,983,498.76/468,140.70
  6. Step 6: Final answer
    x = 349,527.36

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1.5x scale

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.