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Finding the Fourth Proportional to 863,753.19, 1,294,411.89 and 407,858.00

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Solution

The fourth proportional to 863,753.19, 1,294,411.89 and 407,858.00 is: 611,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,753.19 : 1,294,411.89 = 407,858.00 : x
  2. Step 2: Convert to fraction form
    863,753.19/1,294,411.89 = 407,858.00/x
  3. Step 3: Cross multiply
    863,753.19x = 1,294,411.89 × 407,858.00
  4. Step 4: Simplify right side
    863,753.19x = 527,936,238,159.56
  5. Step 5: Solve for x
    x = 527,936,238,159.56/863,753.19
  6. Step 6: Final answer
    x = 611,211.91

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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.