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Finding the Fourth Proportional to 600,693.77, 829,257.35 and 345,995.75

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Solution

The fourth proportional to 600,693.77, 829,257.35 and 345,995.75 is: 477,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,693.77 : 829,257.35 = 345,995.75 : x
  2. Step 2: Convert to fraction form
    600,693.77/829,257.35 = 345,995.75/x
  3. Step 3: Cross multiply
    600,693.77x = 829,257.35 × 345,995.75
  4. Step 4: Simplify right side
    600,693.77x = 286,919,519,099.43
  5. Step 5: Solve for x
    x = 286,919,519,099.43/600,693.77
  6. Step 6: Final answer
    x = 477,646.90

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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.