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Finding the Fourth Proportional to 706,118.22, 974,443.80 and 383,828.31

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Solution

The fourth proportional to 706,118.22, 974,443.80 and 383,828.31 is: 529,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,118.22 : 974,443.80 = 383,828.31 : x
  2. Step 2: Convert to fraction form
    706,118.22/974,443.80 = 383,828.31/x
  3. Step 3: Cross multiply
    706,118.22x = 974,443.80 × 383,828.31
  4. Step 4: Simplify right side
    706,118.22x = 374,019,116,943.98
  5. Step 5: Solve for x
    x = 374,019,116,943.98/706,118.22
  6. Step 6: Final answer
    x = 529,683.42

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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.