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Finding the Fourth Proportional to 496,348.25, 742,643.58 and 294,052.97

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Solution

The fourth proportional to 496,348.25, 742,643.58 and 294,052.97 is: 439,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,348.25 : 742,643.58 = 294,052.97 : x
  2. Step 2: Convert to fraction form
    496,348.25/742,643.58 = 294,052.97/x
  3. Step 3: Cross multiply
    496,348.25x = 742,643.58 × 294,052.97
  4. Step 4: Simplify right side
    496,348.25x = 218,376,550,197.84
  5. Step 5: Solve for x
    x = 218,376,550,197.84/496,348.25
  6. Step 6: Final answer
    x = 439,966.40

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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.