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Finding the Fourth Proportional to 653,998.14, 902,528.10 and 359,660.34

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Solution

The fourth proportional to 653,998.14, 902,528.10 and 359,660.34 is: 496,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,998.14 : 902,528.10 = 359,660.34 : x
  2. Step 2: Convert to fraction form
    653,998.14/902,528.10 = 359,660.34/x
  3. Step 3: Cross multiply
    653,998.14x = 902,528.10 × 359,660.34
  4. Step 4: Simplify right side
    653,998.14x = 324,603,563,305.55
  5. Step 5: Solve for x
    x = 324,603,563,305.55/653,998.14
  6. Step 6: Final answer
    x = 496,337.14

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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.