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Finding the Fourth Proportional to 292,047.40, 409,695.80 and 292,047.40

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Solution

The fourth proportional to 292,047.40, 409,695.80 and 292,047.40 is: 409,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,047.40 : 409,695.80 = 292,047.40 : x
  2. Step 2: Convert to fraction form
    292,047.40/409,695.80 = 292,047.40/x
  3. Step 3: Cross multiply
    292,047.40x = 409,695.80 × 292,047.40
  4. Step 4: Simplify right side
    292,047.40x = 119,650,593,180.92
  5. Step 5: Solve for x
    x = 119,650,593,180.92/292,047.40
  6. Step 6: Final answer
    x = 409,695.80

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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.