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Finding the Fourth Proportional to 696,157.24, 960,674.34 and 409,693

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Solution

The fourth proportional to 696,157.24, 960,674.34 and 409,693 is: 565,363.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,157.24 : 960,674.34 = 409,693 : x
  2. Step 2: Convert to fraction form
    696,157.24/960,674.34 = 409,693/x
  3. Step 3: Cross multiply
    696,157.24x = 960,674.34 × 409,693
  4. Step 4: Simplify right side
    696,157.24x = 393,581,552,377.62
  5. Step 5: Solve for x
    x = 393,581,552,377.62/696,157.24
  6. Step 6: Final answer
    x = 565,363.01

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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.