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Finding the Fourth Proportional to 290,459.96, 400,878.06 and 209,057.39

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Solution

The fourth proportional to 290,459.96, 400,878.06 and 209,057.39 is: 288,530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,459.96 : 400,878.06 = 209,057.39 : x
  2. Step 2: Convert to fraction form
    290,459.96/400,878.06 = 209,057.39/x
  3. Step 3: Cross multiply
    290,459.96x = 400,878.06 × 209,057.39
  4. Step 4: Simplify right side
    290,459.96x = 83,806,518,927.47
  5. Step 5: Solve for x
    x = 83,806,518,927.47/290,459.96
  6. Step 6: Final answer
    x = 288,530.37

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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.