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Finding the Fourth Proportional to 700,249.32, 966,289.50 and 413,715.06

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Solution

The fourth proportional to 700,249.32, 966,289.50 and 413,715.06 is: 570,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,249.32 : 966,289.50 = 413,715.06 : x
  2. Step 2: Convert to fraction form
    700,249.32/966,289.50 = 413,715.06/x
  3. Step 3: Cross multiply
    700,249.32x = 966,289.50 × 413,715.06
  4. Step 4: Simplify right side
    700,249.32x = 399,768,518,469.87
  5. Step 5: Solve for x
    x = 399,768,518,469.87/700,249.32
  6. Step 6: Final answer
    x = 570,894.55

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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.