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Finding the Fourth Proportional to 684,716.46, 944,798.49 and 430,412.10

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Solution

The fourth proportional to 684,716.46, 944,798.49 and 430,412.10 is: 593,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,716.46 : 944,798.49 = 430,412.10 : x
  2. Step 2: Convert to fraction form
    684,716.46/944,798.49 = 430,412.10/x
  3. Step 3: Cross multiply
    684,716.46x = 944,798.49 × 430,412.10
  4. Step 4: Simplify right side
    684,716.46x = 406,652,702,157.73
  5. Step 5: Solve for x
    x = 406,652,702,157.73/684,716.46
  6. Step 6: Final answer
    x = 593,899.41

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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.