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Finding the Fourth Proportional to 314,886.29, 472,243.10 and 188,427.06

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Solution

The fourth proportional to 314,886.29, 472,243.10 and 188,427.06 is: 282,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,886.29 : 472,243.10 = 188,427.06 : x
  2. Step 2: Convert to fraction form
    314,886.29/472,243.10 = 188,427.06/x
  3. Step 3: Cross multiply
    314,886.29x = 472,243.10 × 188,427.06
  4. Step 4: Simplify right side
    314,886.29x = 88,983,377,996.15
  5. Step 5: Solve for x
    x = 88,983,377,996.15/314,886.29
  6. Step 6: Final answer
    x = 282,588.93

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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.