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Finding the Fourth Proportional to 706,756.82, 975,323.66 and 384,466.15

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Solution

The fourth proportional to 706,756.82, 975,323.66 and 384,466.15 is: 530,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,756.82 : 975,323.66 = 384,466.15 : x
  2. Step 2: Convert to fraction form
    706,756.82/975,323.66 = 384,466.15/x
  3. Step 3: Cross multiply
    706,756.82x = 975,323.66 × 384,466.15
  4. Step 4: Simplify right side
    706,756.82x = 374,978,927,456.05
  5. Step 5: Solve for x
    x = 374,978,927,456.05/706,756.82
  6. Step 6: Final answer
    x = 530,562.87

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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.