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Finding the Fourth Proportional to 704,311.32, 971,942.48 and 382,014.50

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Solution

The fourth proportional to 704,311.32, 971,942.48 and 382,014.50 is: 527,176.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,311.32 : 971,942.48 = 382,014.50 : x
  2. Step 2: Convert to fraction form
    704,311.32/971,942.48 = 382,014.50/x
  3. Step 3: Cross multiply
    704,311.32x = 971,942.48 × 382,014.50
  4. Step 4: Simplify right side
    704,311.32x = 371,296,113,756.18
  5. Step 5: Solve for x
    x = 371,296,113,756.18/704,311.32
  6. Step 6: Final answer
    x = 527,176.13

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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.