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Finding the Fourth Proportional to 378,887.90, 522,869.64 and 209,122.16

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Solution

The fourth proportional to 378,887.90, 522,869.64 and 209,122.16 is: 288,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,887.90 : 522,869.64 = 209,122.16 : x
  2. Step 2: Convert to fraction form
    378,887.90/522,869.64 = 209,122.16/x
  3. Step 3: Cross multiply
    378,887.90x = 522,869.64 × 209,122.16
  4. Step 4: Simplify right side
    378,887.90x = 109,343,628,515.22
  5. Step 5: Solve for x
    x = 109,343,628,515.22/378,887.90
  6. Step 6: Final answer
    x = 288,590.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.