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Finding the Fourth Proportional to 706,451.66, 974,907.87 and 384,165.26

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Solution

The fourth proportional to 706,451.66, 974,907.87 and 384,165.26 is: 530,150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,451.66 : 974,907.87 = 384,165.26 : x
  2. Step 2: Convert to fraction form
    706,451.66/974,907.87 = 384,165.26/x
  3. Step 3: Cross multiply
    706,451.66x = 974,907.87 × 384,165.26
  4. Step 4: Simplify right side
    706,451.66x = 374,525,735,354.60
  5. Step 5: Solve for x
    x = 374,525,735,354.60/706,451.66
  6. Step 6: Final answer
    x = 530,150.55

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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.