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Finding the Fourth Proportional to 704,127.47, 971,696.14 and 381,837.47

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Solution

The fourth proportional to 704,127.47, 971,696.14 and 381,837.47 is: 526,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,127.47 : 971,696.14 = 381,837.47 : x
  2. Step 2: Convert to fraction form
    704,127.47/971,696.14 = 381,837.47/x
  3. Step 3: Cross multiply
    704,127.47x = 971,696.14 × 381,837.47
  4. Step 4: Simplify right side
    704,127.47x = 371,029,997,181.01
  5. Step 5: Solve for x
    x = 371,029,997,181.01/704,127.47
  6. Step 6: Final answer
    x = 526,935.83

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1.5x scale

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.