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Finding the Fourth Proportional to 294,298.92, 406,008.63 and 185,210.01

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Solution

The fourth proportional to 294,298.92, 406,008.63 and 185,210.01 is: 255,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,298.92 : 406,008.63 = 185,210.01 : x
  2. Step 2: Convert to fraction form
    294,298.92/406,008.63 = 185,210.01/x
  3. Step 3: Cross multiply
    294,298.92x = 406,008.63 × 185,210.01
  4. Step 4: Simplify right side
    294,298.92x = 75,196,862,422.39
  5. Step 5: Solve for x
    x = 75,196,862,422.39/294,298.92
  6. Step 6: Final answer
    x = 255,511.85

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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.