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Finding the Fourth Proportional to 595,811.20, 891,643.20 and 409,187.20

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Solution

The fourth proportional to 595,811.20, 891,643.20 and 409,187.20 is: 612,356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,811.20 : 891,643.20 = 409,187.20 : x
  2. Step 2: Convert to fraction form
    595,811.20/891,643.20 = 409,187.20/x
  3. Step 3: Cross multiply
    595,811.20x = 891,643.20 × 409,187.20
  4. Step 4: Simplify right side
    595,811.20x = 364,848,984,407.04
  5. Step 5: Solve for x
    x = 364,848,984,407.04/595,811.20
  6. Step 6: Final answer
    x = 612,356.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.