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Finding the Fourth Proportional to 413,622.62, 570,710.68 and 241,462.45

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Solution

The fourth proportional to 413,622.62, 570,710.68 and 241,462.45 is: 333,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,622.62 : 570,710.68 = 241,462.45 : x
  2. Step 2: Convert to fraction form
    413,622.62/570,710.68 = 241,462.45/x
  3. Step 3: Cross multiply
    413,622.62x = 570,710.68 × 241,462.45
  4. Step 4: Simplify right side
    413,622.62x = 137,805,199,143.70
  5. Step 5: Solve for x
    x = 137,805,199,143.70/413,622.62
  6. Step 6: Final answer
    x = 333,166.50

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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.