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Finding the Fourth Proportional to 295,798.40, 408,209.92 and 181,074.68

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Solution

The fourth proportional to 295,798.40, 408,209.92 and 181,074.68 is: 249,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,798.40 : 408,209.92 = 181,074.68 : x
  2. Step 2: Convert to fraction form
    295,798.40/408,209.92 = 181,074.68/x
  3. Step 3: Cross multiply
    295,798.40x = 408,209.92 × 181,074.68
  4. Step 4: Simplify right side
    295,798.40x = 73,916,480,636.83
  5. Step 5: Solve for x
    x = 73,916,480,636.83/295,798.40
  6. Step 6: Final answer
    x = 249,888.03

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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.