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Finding the Fourth Proportional to 468,157.14, 646,073.28 and 264,257.46

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Solution

The fourth proportional to 468,157.14, 646,073.28 and 264,257.46 is: 364,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,157.14 : 646,073.28 = 264,257.46 : x
  2. Step 2: Convert to fraction form
    468,157.14/646,073.28 = 264,257.46/x
  3. Step 3: Cross multiply
    468,157.14x = 646,073.28 × 264,257.46
  4. Step 4: Simplify right side
    468,157.14x = 170,729,683,946.67
  5. Step 5: Solve for x
    x = 170,729,683,946.67/468,157.14
  6. Step 6: Final answer
    x = 364,684.57

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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.