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Finding the Fourth Proportional to 294,783, 406,866.20 and 187,332.08

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Solution

The fourth proportional to 294,783, 406,866.20 and 187,332.08 is: 258,560.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,783 : 406,866.20 = 187,332.08 : x
  2. Step 2: Convert to fraction form
    294,783/406,866.20 = 187,332.08/x
  3. Step 3: Cross multiply
    294,783x = 406,866.20 × 187,332.08
  4. Step 4: Simplify right side
    294,783x = 76,219,091,527.70
  5. Step 5: Solve for x
    x = 76,219,091,527.70/294,783
  6. Step 6: Final answer
    x = 258,560.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.