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Finding the Fourth Proportional to 473,247.82, 709,886.15 and 185,047.96

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Solution

The fourth proportional to 473,247.82, 709,886.15 and 185,047.96 is: 277,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,247.82 : 709,886.15 = 185,047.96 : x
  2. Step 2: Convert to fraction form
    473,247.82/709,886.15 = 185,047.96/x
  3. Step 3: Cross multiply
    473,247.82x = 709,886.15 × 185,047.96
  4. Step 4: Simplify right side
    473,247.82x = 131,362,981,536.76
  5. Step 5: Solve for x
    x = 131,362,981,536.76/473,247.82
  6. Step 6: Final answer
    x = 277,577.57

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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.