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Finding the Fourth Proportional to 461,191.40, 690,404.70 and 405,895.40

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Solution

The fourth proportional to 461,191.40, 690,404.70 and 405,895.40 is: 607,626.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,191.40 : 690,404.70 = 405,895.40 : x
  2. Step 2: Convert to fraction form
    461,191.40/690,404.70 = 405,895.40/x
  3. Step 3: Cross multiply
    461,191.40x = 690,404.70 × 405,895.40
  4. Step 4: Simplify right side
    461,191.40x = 280,232,091,868.38
  5. Step 5: Solve for x
    x = 280,232,091,868.38/461,191.40
  6. Step 6: Final answer
    x = 607,626.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.