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Finding the Fourth Proportional to 413,711.61, 620,603.04 and 114,192.24

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Solution

The fourth proportional to 413,711.61, 620,603.04 and 114,192.24 is: 171,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,711.61 : 620,603.04 = 114,192.24 : x
  2. Step 2: Convert to fraction form
    413,711.61/620,603.04 = 114,192.24/x
  3. Step 3: Cross multiply
    413,711.61x = 620,603.04 × 114,192.24
  4. Step 4: Simplify right side
    413,711.61x = 70,868,051,288.41
  5. Step 5: Solve for x
    x = 70,868,051,288.41/413,711.61
  6. Step 6: Final answer
    x = 171,298.19

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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.