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Finding the Fourth Proportional to 475,413, 655,952.49 and 281,866.11

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Solution

The fourth proportional to 475,413, 655,952.49 and 281,866.11 is: 388,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,413 : 655,952.49 = 281,866.11 : x
  2. Step 2: Convert to fraction form
    475,413/655,952.49 = 281,866.11/x
  3. Step 3: Cross multiply
    475,413x = 655,952.49 × 281,866.11
  4. Step 4: Simplify right side
    475,413x = 184,890,776,701.11
  5. Step 5: Solve for x
    x = 184,890,776,701.11/475,413
  6. Step 6: Final answer
    x = 388,905.60

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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.