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Finding the Fourth Proportional to 652,042.52, 978,070.59 and 178,727.93

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Solution

The fourth proportional to 652,042.52, 978,070.59 and 178,727.93 is: 268,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,042.52 : 978,070.59 = 178,727.93 : x
  2. Step 2: Convert to fraction form
    652,042.52/978,070.59 = 178,727.93/x
  3. Step 3: Cross multiply
    652,042.52x = 978,070.59 × 178,727.93
  4. Step 4: Simplify right side
    652,042.52x = 174,808,527,054.23
  5. Step 5: Solve for x
    x = 174,808,527,054.23/652,042.52
  6. Step 6: Final answer
    x = 268,093.76

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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.