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Finding the Fourth Proportional to 618,898.16, 926,771.70 and 407,896.40

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Solution

The fourth proportional to 618,898.16, 926,771.70 and 407,896.40 is: 610,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,898.16 : 926,771.70 = 407,896.40 : x
  2. Step 2: Convert to fraction form
    618,898.16/926,771.70 = 407,896.40/x
  3. Step 3: Cross multiply
    618,898.16x = 926,771.70 × 407,896.40
  4. Step 4: Simplify right side
    618,898.16x = 378,026,840,051.88
  5. Step 5: Solve for x
    x = 378,026,840,051.88/618,898.16
  6. Step 6: Final answer
    x = 610,806.21

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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.