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Finding the Fourth Proportional to 292,006.40, 409,638.40 and 292,006.40

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Solution

The fourth proportional to 292,006.40, 409,638.40 and 292,006.40 is: 409,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,006.40 : 409,638.40 = 292,006.40 : x
  2. Step 2: Convert to fraction form
    292,006.40/409,638.40 = 292,006.40/x
  3. Step 3: Cross multiply
    292,006.40x = 409,638.40 × 292,006.40
  4. Step 4: Simplify right side
    292,006.40x = 119,617,034,485.76
  5. Step 5: Solve for x
    x = 119,617,034,485.76/292,006.40
  6. Step 6: Final answer
    x = 409,638.40

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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.