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Finding the Fourth Proportional to 468,118.98, 646,002 and 253,259.46

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Solution

The fourth proportional to 468,118.98, 646,002 and 253,259.46 is: 349,496.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,118.98 : 646,002 = 253,259.46 : x
  2. Step 2: Convert to fraction form
    468,118.98/646,002 = 253,259.46/x
  3. Step 3: Cross multiply
    468,118.98x = 646,002 × 253,259.46
  4. Step 4: Simplify right side
    468,118.98x = 163,606,117,678.92
  5. Step 5: Solve for x
    x = 163,606,117,678.92/468,118.98
  6. Step 6: Final answer
    x = 349,496.87

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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.