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Finding the Fourth Proportional to 314,084.58, 471,129.65 and 89,444.84

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Solution

The fourth proportional to 314,084.58, 471,129.65 and 89,444.84 is: 134,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,084.58 : 471,129.65 = 89,444.84 : x
  2. Step 2: Convert to fraction form
    314,084.58/471,129.65 = 89,444.84/x
  3. Step 3: Cross multiply
    314,084.58x = 471,129.65 × 89,444.84
  4. Step 4: Simplify right side
    314,084.58x = 42,140,116,163.51
  5. Step 5: Solve for x
    x = 42,140,116,163.51/314,084.58
  6. Step 6: Final answer
    x = 134,168.05

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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.