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Finding the Fourth Proportional to 507,948.12, 700,971.03 and 293,097.24

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Solution

The fourth proportional to 507,948.12, 700,971.03 and 293,097.24 is: 404,475.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,948.12 : 700,971.03 = 293,097.24 : x
  2. Step 2: Convert to fraction form
    507,948.12/700,971.03 = 293,097.24/x
  3. Step 3: Cross multiply
    507,948.12x = 700,971.03 × 293,097.24
  4. Step 4: Simplify right side
    507,948.12x = 205,452,674,212.96
  5. Step 5: Solve for x
    x = 205,452,674,212.96/507,948.12
  6. Step 6: Final answer
    x = 404,475.71

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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.