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Finding the Fourth Proportional to 684,342.10, 944,428 and 412,496.38

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Solution

The fourth proportional to 684,342.10, 944,428 and 412,496.38 is: 569,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,342.10 : 944,428 = 412,496.38 : x
  2. Step 2: Convert to fraction form
    684,342.10/944,428 = 412,496.38/x
  3. Step 3: Cross multiply
    684,342.10x = 944,428 × 412,496.38
  4. Step 4: Simplify right side
    684,342.10x = 389,573,131,170.64
  5. Step 5: Solve for x
    x = 389,573,131,170.64/684,342.10
  6. Step 6: Final answer
    x = 569,266.64

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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.