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Finding the Fourth Proportional to 340,822.32, 470,335.32 and 189,916.08

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Solution

The fourth proportional to 340,822.32, 470,335.32 and 189,916.08 is: 262,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,822.32 : 470,335.32 = 189,916.08 : x
  2. Step 2: Convert to fraction form
    340,822.32/470,335.32 = 189,916.08/x
  3. Step 3: Cross multiply
    340,822.32x = 470,335.32 × 189,916.08
  4. Step 4: Simplify right side
    340,822.32x = 89,324,240,259.95
  5. Step 5: Solve for x
    x = 89,324,240,259.95/340,822.32
  6. Step 6: Final answer
    x = 262,084.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.