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Finding the Fourth Proportional to 532,786, 735,244.68 and 294,322

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Solution

The fourth proportional to 532,786, 735,244.68 and 294,322 is: 406,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,786 : 735,244.68 = 294,322 : x
  2. Step 2: Convert to fraction form
    532,786/735,244.68 = 294,322/x
  3. Step 3: Cross multiply
    532,786x = 735,244.68 × 294,322
  4. Step 4: Simplify right side
    532,786x = 216,398,684,706.96
  5. Step 5: Solve for x
    x = 216,398,684,706.96/532,786
  6. Step 6: Final answer
    x = 406,164.36

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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.