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Finding the Fourth Proportional to 701,765, 968,376.84 and 415,234.88

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Solution

The fourth proportional to 701,765, 968,376.84 and 415,234.88 is: 572,989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,765 : 968,376.84 = 415,234.88 : x
  2. Step 2: Convert to fraction form
    701,765/968,376.84 = 415,234.88/x
  3. Step 3: Cross multiply
    701,765x = 968,376.84 × 415,234.88
  4. Step 4: Simplify right side
    701,765x = 402,103,840,952.18
  5. Step 5: Solve for x
    x = 402,103,840,952.18/701,765
  6. Step 6: Final answer
    x = 572,989.31

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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.