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Finding the Fourth Proportional to 704,319.72, 971,955.54 and 382,029

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Solution

The fourth proportional to 704,319.72, 971,955.54 and 382,029 is: 527,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,319.72 : 971,955.54 = 382,029 : x
  2. Step 2: Convert to fraction form
    704,319.72/971,955.54 = 382,029/x
  3. Step 3: Cross multiply
    704,319.72x = 971,955.54 × 382,029
  4. Step 4: Simplify right side
    704,319.72x = 371,315,202,990.66
  5. Step 5: Solve for x
    x = 371,315,202,990.66/704,319.72
  6. Step 6: Final answer
    x = 527,196.94

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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.