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Finding the Fourth Proportional to 314,388, 433,854.72 and 171,149.04

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Solution

The fourth proportional to 314,388, 433,854.72 and 171,149.04 is: 236,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,388 : 433,854.72 = 171,149.04 : x
  2. Step 2: Convert to fraction form
    314,388/433,854.72 = 171,149.04/x
  3. Step 3: Cross multiply
    314,388x = 433,854.72 × 171,149.04
  4. Step 4: Simplify right side
    314,388x = 74,253,818,827.47
  5. Step 5: Solve for x
    x = 74,253,818,827.47/314,388
  6. Step 6: Final answer
    x = 236,185.28

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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.