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Finding the Fourth Proportional to 564,752.22, 847,243.53 and 190,766.94

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Solution

The fourth proportional to 564,752.22, 847,243.53 and 190,766.94 is: 286,189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,752.22 : 847,243.53 = 190,766.94 : x
  2. Step 2: Convert to fraction form
    564,752.22/847,243.53 = 190,766.94/x
  3. Step 3: Cross multiply
    564,752.22x = 847,243.53 × 190,766.94
  4. Step 4: Simplify right side
    564,752.22x = 161,626,055,652.90
  5. Step 5: Solve for x
    x = 161,626,055,652.90/564,752.22
  6. Step 6: Final answer
    x = 286,189.32

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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.