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Finding the Fourth Proportional to 704,161.44, 971,725.68 and 402,336

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Solution

The fourth proportional to 704,161.44, 971,725.68 and 402,336 is: 555,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,161.44 : 971,725.68 = 402,336 : x
  2. Step 2: Convert to fraction form
    704,161.44/971,725.68 = 402,336/x
  3. Step 3: Cross multiply
    704,161.44x = 971,725.68 × 402,336
  4. Step 4: Simplify right side
    704,161.44x = 390,960,223,188.48
  5. Step 5: Solve for x
    x = 390,960,223,188.48/704,161.44
  6. Step 6: Final answer
    x = 555,213.91

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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.