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Finding the Fourth Proportional to 591,016.16, 886,611.72 and 217,010

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Solution

The fourth proportional to 591,016.16, 886,611.72 and 217,010 is: 325,547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,016.16 : 886,611.72 = 217,010 : x
  2. Step 2: Convert to fraction form
    591,016.16/886,611.72 = 217,010/x
  3. Step 3: Cross multiply
    591,016.16x = 886,611.72 × 217,010
  4. Step 4: Simplify right side
    591,016.16x = 192,403,609,357.20
  5. Step 5: Solve for x
    x = 192,403,609,357.20/591,016.16
  6. Step 6: Final answer
    x = 325,547.12

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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.