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Finding the Fourth Proportional to 473,520.12, 653,446.89 and 258,661.14

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Solution

The fourth proportional to 473,520.12, 653,446.89 and 258,661.14 is: 356,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,520.12 : 653,446.89 = 258,661.14 : x
  2. Step 2: Convert to fraction form
    473,520.12/653,446.89 = 258,661.14/x
  3. Step 3: Cross multiply
    473,520.12x = 653,446.89 × 258,661.14
  4. Step 4: Simplify right side
    473,520.12x = 169,021,317,496.86
  5. Step 5: Solve for x
    x = 169,021,317,496.86/473,520.12
  6. Step 6: Final answer
    x = 356,946.43

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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.