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Finding the Fourth Proportional to 706,538.10, 975,029.73 and 384,255.30

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Solution

The fourth proportional to 706,538.10, 975,029.73 and 384,255.30 is: 530,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,538.10 : 975,029.73 = 384,255.30 : x
  2. Step 2: Convert to fraction form
    706,538.10/975,029.73 = 384,255.30/x
  3. Step 3: Cross multiply
    706,538.10x = 975,029.73 × 384,255.30
  4. Step 4: Simplify right side
    706,538.10x = 374,660,341,410.07
  5. Step 5: Solve for x
    x = 374,660,341,410.07/706,538.10
  6. Step 6: Final answer
    x = 530,276.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.