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Finding the Fourth Proportional to 706,334.22, 1,058,459.18 and 417,847.50

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Solution

The fourth proportional to 706,334.22, 1,058,459.18 and 417,847.50 is: 626,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,334.22 : 1,058,459.18 = 417,847.50 : x
  2. Step 2: Convert to fraction form
    706,334.22/1,058,459.18 = 417,847.50/x
  3. Step 3: Cross multiply
    706,334.22x = 1,058,459.18 × 417,847.50
  4. Step 4: Simplify right side
    706,334.22x = 442,274,520,125.81
  5. Step 5: Solve for x
    x = 442,274,520,125.81/706,334.22
  6. Step 6: Final answer
    x = 626,154.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.