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Finding the Fourth Proportional to 704,322.72, 971,959.68 and 382,032

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Solution

The fourth proportional to 704,322.72, 971,959.68 and 382,032 is: 527,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,322.72 : 971,959.68 = 382,032 : x
  2. Step 2: Convert to fraction form
    704,322.72/971,959.68 = 382,032/x
  3. Step 3: Cross multiply
    704,322.72x = 971,959.68 × 382,032
  4. Step 4: Simplify right side
    704,322.72x = 371,319,700,469.76
  5. Step 5: Solve for x
    x = 371,319,700,469.76/704,322.72
  6. Step 6: Final answer
    x = 527,201.08

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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.