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Finding the Fourth Proportional to 704,134.98, 971,706.50 and 381,844.98

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Solution

The fourth proportional to 704,134.98, 971,706.50 and 381,844.98 is: 526,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,134.98 : 971,706.50 = 381,844.98 : x
  2. Step 2: Convert to fraction form
    704,134.98/971,706.50 = 381,844.98/x
  3. Step 3: Cross multiply
    704,134.98x = 971,706.50 × 381,844.98
  4. Step 4: Simplify right side
    704,134.98x = 371,041,249,058.37
  5. Step 5: Solve for x
    x = 371,041,249,058.37/704,134.98
  6. Step 6: Final answer
    x = 526,946.20

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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.