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Finding the Fourth Proportional to 294,915.94, 441,422.37 and 152,565.19

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Solution

The fourth proportional to 294,915.94, 441,422.37 and 152,565.19 is: 228,355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,915.94 : 441,422.37 = 152,565.19 : x
  2. Step 2: Convert to fraction form
    294,915.94/441,422.37 = 152,565.19/x
  3. Step 3: Cross multiply
    294,915.94x = 441,422.37 × 152,565.19
  4. Step 4: Simplify right side
    294,915.94x = 67,345,686,645.74
  5. Step 5: Solve for x
    x = 67,345,686,645.74/294,915.94
  6. Step 6: Final answer
    x = 228,355.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.