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Finding the Fourth Proportional to 565,189.68, 847,823.40 and 191,086.32

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Solution

The fourth proportional to 565,189.68, 847,823.40 and 191,086.32 is: 286,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,189.68 : 847,823.40 = 191,086.32 : x
  2. Step 2: Convert to fraction form
    565,189.68/847,823.40 = 191,086.32/x
  3. Step 3: Cross multiply
    565,189.68x = 847,823.40 × 191,086.32
  4. Step 4: Simplify right side
    565,189.68x = 162,007,453,515.89
  5. Step 5: Solve for x
    x = 162,007,453,515.89/565,189.68
  6. Step 6: Final answer
    x = 286,642.63

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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.