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Finding the Fourth Proportional to 545,252.29, 817,815.86 and 145,924.22

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Solution

The fourth proportional to 545,252.29, 817,815.86 and 145,924.22 is: 218,869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,252.29 : 817,815.86 = 145,924.22 : x
  2. Step 2: Convert to fraction form
    545,252.29/817,815.86 = 145,924.22/x
  3. Step 3: Cross multiply
    545,252.29x = 817,815.86 × 145,924.22
  4. Step 4: Simplify right side
    545,252.29x = 119,339,141,474.13
  5. Step 5: Solve for x
    x = 119,339,141,474.13/545,252.29
  6. Step 6: Final answer
    x = 218,869.58

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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.