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Finding the Fourth Proportional to 507,044, 760,667.48 and 187,197.81

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Solution

The fourth proportional to 507,044, 760,667.48 and 187,197.81 is: 280,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,044 : 760,667.48 = 187,197.81 : x
  2. Step 2: Convert to fraction form
    507,044/760,667.48 = 187,197.81/x
  3. Step 3: Cross multiply
    507,044x = 760,667.48 × 187,197.81
  4. Step 4: Simplify right side
    507,044x = 142,395,286,394.22
  5. Step 5: Solve for x
    x = 142,395,286,394.22/507,044
  6. Step 6: Final answer
    x = 280,834.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.