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Finding the Fourth Proportional to 468,294.49, 646,246.39 and 253,434.55

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Solution

The fourth proportional to 468,294.49, 646,246.39 and 253,434.55 is: 349,739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,294.49 : 646,246.39 = 253,434.55 : x
  2. Step 2: Convert to fraction form
    468,294.49/646,246.39 = 253,434.55/x
  3. Step 3: Cross multiply
    468,294.49x = 646,246.39 × 253,434.55
  4. Step 4: Simplify right side
    468,294.49x = 163,781,163,038.78
  5. Step 5: Solve for x
    x = 163,781,163,038.78/468,294.49
  6. Step 6: Final answer
    x = 349,739.68

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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.