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Finding the Fourth Proportional to 340,775.26, 470,350 and 211,811.14

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Solution

The fourth proportional to 340,775.26, 470,350 and 211,811.14 is: 292,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,775.26 : 470,350 = 211,811.14 : x
  2. Step 2: Convert to fraction form
    340,775.26/470,350 = 211,811.14/x
  3. Step 3: Cross multiply
    340,775.26x = 470,350 × 211,811.14
  4. Step 4: Simplify right side
    340,775.26x = 99,625,369,699
  5. Step 5: Solve for x
    x = 99,625,369,699/340,775.26
  6. Step 6: Final answer
    x = 292,349.19

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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.