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Finding the Fourth Proportional to 314,457.80, 471,653.89 and 89,803.69

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Solution

The fourth proportional to 314,457.80, 471,653.89 and 89,803.69 is: 134,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,457.80 : 471,653.89 = 89,803.69 : x
  2. Step 2: Convert to fraction form
    314,457.80/471,653.89 = 89,803.69/x
  3. Step 3: Cross multiply
    314,457.80x = 471,653.89 × 89,803.69
  4. Step 4: Simplify right side
    314,457.80x = 42,356,258,321.21
  5. Step 5: Solve for x
    x = 42,356,258,321.21/314,457.80
  6. Step 6: Final answer
    x = 134,696.16

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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.