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Finding the Fourth Proportional to 344,124, 474,685.20 and 216,578.16

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Solution

The fourth proportional to 344,124, 474,685.20 and 216,578.16 is: 298,748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,124 : 474,685.20 = 216,578.16 : x
  2. Step 2: Convert to fraction form
    344,124/474,685.20 = 216,578.16/x
  3. Step 3: Cross multiply
    344,124x = 474,685.20 × 216,578.16
  4. Step 4: Simplify right side
    344,124x = 102,806,447,195.23
  5. Step 5: Solve for x
    x = 102,806,447,195.23/344,124
  6. Step 6: Final answer
    x = 298,748.26

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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.