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Finding the Fourth Proportional to 292,116.30, 410,143.80 and 292,116.30

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Solution

The fourth proportional to 292,116.30, 410,143.80 and 292,116.30 is: 410,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,116.30 : 410,143.80 = 292,116.30 : x
  2. Step 2: Convert to fraction form
    292,116.30/410,143.80 = 292,116.30/x
  3. Step 3: Cross multiply
    292,116.30x = 410,143.80 × 292,116.30
  4. Step 4: Simplify right side
    292,116.30x = 119,809,689,323.94
  5. Step 5: Solve for x
    x = 119,809,689,323.94/292,116.30
  6. Step 6: Final answer
    x = 410,143.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.