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Finding the Fourth Proportional to 706,257.88, 974,655.10 and 383,989.66

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Solution

The fourth proportional to 706,257.88, 974,655.10 and 383,989.66 is: 529,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,257.88 : 974,655.10 = 383,989.66 : x
  2. Step 2: Convert to fraction form
    706,257.88/974,655.10 = 383,989.66/x
  3. Step 3: Cross multiply
    706,257.88x = 974,655.10 × 383,989.66
  4. Step 4: Simplify right side
    706,257.88x = 374,257,480,466.27
  5. Step 5: Solve for x
    x = 374,257,480,466.27/706,257.88
  6. Step 6: Final answer
    x = 529,916.18

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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.