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Finding the Fourth Proportional to 507,496.14, 700,419.24 and 292,594.14

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Solution

The fourth proportional to 507,496.14, 700,419.24 and 292,594.14 is: 403,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,496.14 : 700,419.24 = 292,594.14 : x
  2. Step 2: Convert to fraction form
    507,496.14/700,419.24 = 292,594.14/x
  3. Step 3: Cross multiply
    507,496.14x = 700,419.24 × 292,594.14
  4. Step 4: Simplify right side
    507,496.14x = 204,938,565,167.25
  5. Step 5: Solve for x
    x = 204,938,565,167.25/507,496.14
  6. Step 6: Final answer
    x = 403,822.90

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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.