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Finding the Fourth Proportional to 684,764.16, 944,578.56 and 412,646.40

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Solution

The fourth proportional to 684,764.16, 944,578.56 and 412,646.40 is: 569,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,764.16 : 944,578.56 = 412,646.40 : x
  2. Step 2: Convert to fraction form
    684,764.16/944,578.56 = 412,646.40/x
  3. Step 3: Cross multiply
    684,764.16x = 944,578.56 × 412,646.40
  4. Step 4: Simplify right side
    684,764.16x = 389,776,942,301.18
  5. Step 5: Solve for x
    x = 389,776,942,301.18/684,764.16
  6. Step 6: Final answer
    x = 569,213.41

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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.