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Finding the Fourth Proportional to 468,413, 646,497.51 and 267,209

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Solution

The fourth proportional to 468,413, 646,497.51 and 267,209 is: 368,798.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,413 : 646,497.51 = 267,209 : x
  2. Step 2: Convert to fraction form
    468,413/646,497.51 = 267,209/x
  3. Step 3: Cross multiply
    468,413x = 646,497.51 × 267,209
  4. Step 4: Simplify right side
    468,413x = 172,749,953,149.59
  5. Step 5: Solve for x
    x = 172,749,953,149.59/468,413
  6. Step 6: Final answer
    x = 368,798.37

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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.