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Finding the Fourth Proportional to 315,726.84, 473,642.58 and 105,429.24

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Solution

The fourth proportional to 315,726.84, 473,642.58 and 105,429.24 is: 158,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,726.84 : 473,642.58 = 105,429.24 : x
  2. Step 2: Convert to fraction form
    315,726.84/473,642.58 = 105,429.24/x
  3. Step 3: Cross multiply
    315,726.84x = 473,642.58 × 105,429.24
  4. Step 4: Simplify right side
    315,726.84x = 49,935,777,241.04
  5. Step 5: Solve for x
    x = 49,935,777,241.04/315,726.84
  6. Step 6: Final answer
    x = 158,161.33

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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.