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Finding the Fourth Proportional to 294,535.64, 441,569.28 and 128,207

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Solution

The fourth proportional to 294,535.64, 441,569.28 and 128,207 is: 192,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,535.64 : 441,569.28 = 128,207 : x
  2. Step 2: Convert to fraction form
    294,535.64/441,569.28 = 128,207/x
  3. Step 3: Cross multiply
    294,535.64x = 441,569.28 × 128,207
  4. Step 4: Simplify right side
    294,535.64x = 56,612,272,680.96
  5. Step 5: Solve for x
    x = 56,612,272,680.96/294,535.64
  6. Step 6: Final answer
    x = 192,208.56

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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.