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Finding the Fourth Proportional to 704,128.95, 971,698.47 and 381,838.97

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Solution

The fourth proportional to 704,128.95, 971,698.47 and 381,838.97 is: 526,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,128.95 : 971,698.47 = 381,838.97 : x
  2. Step 2: Convert to fraction form
    704,128.95/971,698.47 = 381,838.97/x
  3. Step 3: Cross multiply
    704,128.95x = 971,698.47 × 381,838.97
  4. Step 4: Simplify right side
    704,128.95x = 371,032,342,935.38
  5. Step 5: Solve for x
    x = 371,032,342,935.38/704,128.95
  6. Step 6: Final answer
    x = 526,938.06

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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.