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Finding the Fourth Proportional to 705,689.81, 973,781.70 and 399,705.29

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Solution

The fourth proportional to 705,689.81, 973,781.70 and 399,705.29 is: 551,553.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,689.81 : 973,781.70 = 399,705.29 : x
  2. Step 2: Convert to fraction form
    705,689.81/973,781.70 = 399,705.29/x
  3. Step 3: Cross multiply
    705,689.81x = 973,781.70 × 399,705.29
  4. Step 4: Simplify right side
    705,689.81x = 389,225,696,795.19
  5. Step 5: Solve for x
    x = 389,225,696,795.19/705,689.81
  6. Step 6: Final answer
    x = 551,553.52

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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.