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Finding the Fourth Proportional to 314,266.68, 471,348.54 and 86,509.08

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Solution

The fourth proportional to 314,266.68, 471,348.54 and 86,509.08 is: 129,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,266.68 : 471,348.54 = 86,509.08 : x
  2. Step 2: Convert to fraction form
    314,266.68/471,348.54 = 86,509.08/x
  3. Step 3: Cross multiply
    314,266.68x = 471,348.54 × 86,509.08
  4. Step 4: Simplify right side
    314,266.68x = 40,775,928,554.74
  5. Step 5: Solve for x
    x = 40,775,928,554.74/314,266.68
  6. Step 6: Final answer
    x = 129,749.45

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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.