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Finding the Fourth Proportional to 314,297.67, 471,519.69 and 89,661.18

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Solution

The fourth proportional to 314,297.67, 471,519.69 and 89,661.18 is: 134,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,297.67 : 471,519.69 = 89,661.18 : x
  2. Step 2: Convert to fraction form
    314,297.67/471,519.69 = 89,661.18/x
  3. Step 3: Cross multiply
    314,297.67x = 471,519.69 × 89,661.18
  4. Step 4: Simplify right side
    314,297.67x = 42,277,011,798.63
  5. Step 5: Solve for x
    x = 42,277,011,798.63/314,297.67
  6. Step 6: Final answer
    x = 134,512.65

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Why These Related Problems?

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