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Finding the Fourth Proportional to 353,547.36, 487,906.37 and 200,592.00

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Solution

The fourth proportional to 353,547.36, 487,906.37 and 200,592.00 is: 276,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,547.36 : 487,906.37 = 200,592.00 : x
  2. Step 2: Convert to fraction form
    353,547.36/487,906.37 = 200,592.00/x
  3. Step 3: Cross multiply
    353,547.36x = 487,906.37 × 200,592.00
  4. Step 4: Simplify right side
    353,547.36x = 97,870,115,509.60
  5. Step 5: Solve for x
    x = 97,870,115,509.60/353,547.36
  6. Step 6: Final answer
    x = 276,823.21

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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.