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Finding the Fourth Proportional to 413,368.15, 570,403.86 and 232,100

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Solution

The fourth proportional to 413,368.15, 570,403.86 and 232,100 is: 320,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,368.15 : 570,403.86 = 232,100 : x
  2. Step 2: Convert to fraction form
    413,368.15/570,403.86 = 232,100/x
  3. Step 3: Cross multiply
    413,368.15x = 570,403.86 × 232,100
  4. Step 4: Simplify right side
    413,368.15x = 132,390,735,906
  5. Step 5: Solve for x
    x = 132,390,735,906/413,368.15
  6. Step 6: Final answer
    x = 320,273.19

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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.