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Finding the Fourth Proportional to 561,488.34, 842,140.27 and 201,584.69

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Solution

The fourth proportional to 561,488.34, 842,140.27 and 201,584.69 is: 302,343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,488.34 : 842,140.27 = 201,584.69 : x
  2. Step 2: Convert to fraction form
    561,488.34/842,140.27 = 201,584.69/x
  3. Step 3: Cross multiply
    561,488.34x = 842,140.27 × 201,584.69
  4. Step 4: Simplify right side
    561,488.34x = 169,762,585,264.47
  5. Step 5: Solve for x
    x = 169,762,585,264.47/561,488.34
  6. Step 6: Final answer
    x = 302,343.92

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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.