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Finding the Fourth Proportional to 473,314.86, 653,201.07 and 258,474.90

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Solution

The fourth proportional to 473,314.86, 653,201.07 and 258,474.90 is: 356,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,314.86 : 653,201.07 = 258,474.90 : x
  2. Step 2: Convert to fraction form
    473,314.86/653,201.07 = 258,474.90/x
  3. Step 3: Cross multiply
    473,314.86x = 653,201.07 × 258,474.90
  4. Step 4: Simplify right side
    473,314.86x = 168,836,081,248.14
  5. Step 5: Solve for x
    x = 168,836,081,248.14/473,314.86
  6. Step 6: Final answer
    x = 356,709.87

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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.