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Finding the Fourth Proportional to 569,643, 854,260.20 and 170,209.32

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Solution

The fourth proportional to 569,643, 854,260.20 and 170,209.32 is: 255,252.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,643 : 854,260.20 = 170,209.32 : x
  2. Step 2: Convert to fraction form
    569,643/854,260.20 = 170,209.32/x
  3. Step 3: Cross multiply
    569,643x = 854,260.20 × 170,209.32
  4. Step 4: Simplify right side
    569,643x = 145,403,047,745.06
  5. Step 5: Solve for x
    x = 145,403,047,745.06/569,643
  6. Step 6: Final answer
    x = 255,252.94

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