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Finding the Fourth Proportional to 413,047.40, 618,015.90 and 273,079.40

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Solution

The fourth proportional to 413,047.40, 618,015.90 and 273,079.40 is: 408,590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,047.40 : 618,015.90 = 273,079.40 : x
  2. Step 2: Convert to fraction form
    413,047.40/618,015.90 = 273,079.40/x
  3. Step 3: Cross multiply
    413,047.40x = 618,015.90 × 273,079.40
  4. Step 4: Simplify right side
    413,047.40x = 168,767,411,162.46
  5. Step 5: Solve for x
    x = 168,767,411,162.46/413,047.40
  6. Step 6: Final answer
    x = 408,590.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.