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Finding the Fourth Proportional to 557,803.68, 836,617.44 and 463,638.72

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Solution

The fourth proportional to 557,803.68, 836,617.44 and 463,638.72 is: 695,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,803.68 : 836,617.44 = 463,638.72 : x
  2. Step 2: Convert to fraction form
    557,803.68/836,617.44 = 463,638.72/x
  3. Step 3: Cross multiply
    557,803.68x = 836,617.44 × 463,638.72
  4. Step 4: Simplify right side
    557,803.68x = 387,888,239,011.28
  5. Step 5: Solve for x
    x = 387,888,239,011.28/557,803.68
  6. Step 6: Final answer
    x = 695,384.87

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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.