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Finding the Fourth Proportional to 477,301.02, 715,914.06 and 277,494

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Solution

The fourth proportional to 477,301.02, 715,914.06 and 277,494 is: 416,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,301.02 : 715,914.06 = 277,494 : x
  2. Step 2: Convert to fraction form
    477,301.02/715,914.06 = 277,494/x
  3. Step 3: Cross multiply
    477,301.02x = 715,914.06 × 277,494
  4. Step 4: Simplify right side
    477,301.02x = 198,661,856,165.64
  5. Step 5: Solve for x
    x = 198,661,856,165.64/477,301.02
  6. Step 6: Final answer
    x = 416,219.22

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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.