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Finding the Fourth Proportional to 524,296.75, 723,522.58 and 294,853.97

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Solution

The fourth proportional to 524,296.75, 723,522.58 and 294,853.97 is: 406,894.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,296.75 : 723,522.58 = 294,853.97 : x
  2. Step 2: Convert to fraction form
    524,296.75/723,522.58 = 294,853.97/x
  3. Step 3: Cross multiply
    524,296.75x = 723,522.58 × 294,853.97
  4. Step 4: Simplify right side
    524,296.75x = 213,333,506,169.31
  5. Step 5: Solve for x
    x = 213,333,506,169.31/524,296.75
  6. Step 6: Final answer
    x = 406,894.58

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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.