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Finding the Fourth Proportional to 562,095.18, 775,709.82 and 307,446.36

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Solution

The fourth proportional to 562,095.18, 775,709.82 and 307,446.36 is: 424,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,095.18 : 775,709.82 = 307,446.36 : x
  2. Step 2: Convert to fraction form
    562,095.18/775,709.82 = 307,446.36/x
  3. Step 3: Cross multiply
    562,095.18x = 775,709.82 × 307,446.36
  4. Step 4: Simplify right side
    562,095.18x = 238,489,160,575.26
  5. Step 5: Solve for x
    x = 238,489,160,575.26/562,095.18
  6. Step 6: Final answer
    x = 424,286.08

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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.