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Finding the Fourth Proportional to 618,537.83, 926,231.70 and 407,536.07

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Solution

The fourth proportional to 618,537.83, 926,231.70 and 407,536.07 is: 610,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,537.83 : 926,231.70 = 407,536.07 : x
  2. Step 2: Convert to fraction form
    618,537.83/926,231.70 = 407,536.07/x
  3. Step 3: Cross multiply
    618,537.83x = 926,231.70 × 407,536.07
  4. Step 4: Simplify right side
    618,537.83x = 377,472,826,927.42
  5. Step 5: Solve for x
    x = 377,472,826,927.42/618,537.83
  6. Step 6: Final answer
    x = 610,266.35

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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.