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Finding the Fourth Proportional to 413,617.70, 579,852.10 and 413,617.70

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Solution

The fourth proportional to 413,617.70, 579,852.10 and 413,617.70 is: 579,852.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,617.70 : 579,852.10 = 413,617.70 : x
  2. Step 2: Convert to fraction form
    413,617.70/579,852.10 = 413,617.70/x
  3. Step 3: Cross multiply
    413,617.70x = 579,852.10 × 413,617.70
  4. Step 4: Simplify right side
    413,617.70x = 239,837,091,942.17
  5. Step 5: Solve for x
    x = 239,837,091,942.17/413,617.70
  6. Step 6: Final answer
    x = 579,852.10

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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.