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Finding the Fourth Proportional to 473,005.81, 652,763.24 and 269,051.49

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Solution

The fourth proportional to 473,005.81, 652,763.24 and 269,051.49 is: 371,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,005.81 : 652,763.24 = 269,051.49 : x
  2. Step 2: Convert to fraction form
    473,005.81/652,763.24 = 269,051.49/x
  3. Step 3: Cross multiply
    473,005.81x = 652,763.24 × 269,051.49
  4. Step 4: Simplify right side
    473,005.81x = 175,626,922,875.17
  5. Step 5: Solve for x
    x = 175,626,922,875.17/473,005.81
  6. Step 6: Final answer
    x = 371,299.71

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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.