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Finding the Fourth Proportional to 392,822.58, 589,492.26 and 215,454

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Solution

The fourth proportional to 392,822.58, 589,492.26 and 215,454 is: 323,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,822.58 : 589,492.26 = 215,454 : x
  2. Step 2: Convert to fraction form
    392,822.58/589,492.26 = 215,454/x
  3. Step 3: Cross multiply
    392,822.58x = 589,492.26 × 215,454
  4. Step 4: Simplify right side
    392,822.58x = 127,008,465,386.04
  5. Step 5: Solve for x
    x = 127,008,465,386.04/392,822.58
  6. Step 6: Final answer
    x = 323,322.72

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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.