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Finding the Fourth Proportional to 557,085.30, 835,683.32 and 202,127

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Solution

The fourth proportional to 557,085.30, 835,683.32 and 202,127 is: 303,210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,085.30 : 835,683.32 = 202,127 : x
  2. Step 2: Convert to fraction form
    557,085.30/835,683.32 = 202,127/x
  3. Step 3: Cross multiply
    557,085.30x = 835,683.32 × 202,127
  4. Step 4: Simplify right side
    557,085.30x = 168,914,162,421.64
  5. Step 5: Solve for x
    x = 168,914,162,421.64/557,085.30
  6. Step 6: Final answer
    x = 303,210.59

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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.