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Finding the Fourth Proportional to 283,364.46, 390,916.44 and 191,454.08

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Solution

The fourth proportional to 283,364.46, 390,916.44 and 191,454.08 is: 264,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,364.46 : 390,916.44 = 191,454.08 : x
  2. Step 2: Convert to fraction form
    283,364.46/390,916.44 = 191,454.08/x
  3. Step 3: Cross multiply
    283,364.46x = 390,916.44 × 191,454.08
  4. Step 4: Simplify right side
    283,364.46x = 74,842,545,422.49
  5. Step 5: Solve for x
    x = 74,842,545,422.49/283,364.46
  6. Step 6: Final answer
    x = 264,121.14

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Why These Related Problems?

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