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Finding the Fourth Proportional to 294,780.60, 406,681.74 and 181,406.52

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Solution

The fourth proportional to 294,780.60, 406,681.74 and 181,406.52 is: 250,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,780.60 : 406,681.74 = 181,406.52 : x
  2. Step 2: Convert to fraction form
    294,780.60/406,681.74 = 181,406.52/x
  3. Step 3: Cross multiply
    294,780.60x = 406,681.74 × 181,406.52
  4. Step 4: Simplify right side
    294,780.60x = 73,774,719,200.94
  5. Step 5: Solve for x
    x = 73,774,719,200.94/294,780.60
  6. Step 6: Final answer
    x = 250,269.93

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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.