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Finding the Fourth Proportional to 704,121.16, 971,686.76 and 381,830.26

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Solution

The fourth proportional to 704,121.16, 971,686.76 and 381,830.26 is: 526,925.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,121.16 : 971,686.76 = 381,830.26 : x
  2. Step 2: Convert to fraction form
    704,121.16/971,686.76 = 381,830.26/x
  3. Step 3: Cross multiply
    704,121.16x = 971,686.76 × 381,830.26
  4. Step 4: Simplify right side
    704,121.16x = 371,019,408,209.36
  5. Step 5: Solve for x
    x = 371,019,408,209.36/704,121.16
  6. Step 6: Final answer
    x = 526,925.52

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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.