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Finding the Fourth Proportional to 314,388.40, 471,515.62 and 89,688.50

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Solution

The fourth proportional to 314,388.40, 471,515.62 and 89,688.50 is: 134,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,388.40 : 471,515.62 = 89,688.50 : x
  2. Step 2: Convert to fraction form
    314,388.40/471,515.62 = 89,688.50/x
  3. Step 3: Cross multiply
    314,388.40x = 471,515.62 × 89,688.50
  4. Step 4: Simplify right side
    314,388.40x = 42,289,528,684.37
  5. Step 5: Solve for x
    x = 42,289,528,684.37/314,388.40
  6. Step 6: Final answer
    x = 134,513.64

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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.