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Finding the Fourth Proportional to 295,798.08, 408,284.91 and 174,981.32

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Solution

The fourth proportional to 295,798.08, 408,284.91 and 174,981.32 is: 241,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,798.08 : 408,284.91 = 174,981.32 : x
  2. Step 2: Convert to fraction form
    295,798.08/408,284.91 = 174,981.32/x
  3. Step 3: Cross multiply
    295,798.08x = 408,284.91 × 174,981.32
  4. Step 4: Simplify right side
    295,798.08x = 71,442,230,446.46
  5. Step 5: Solve for x
    x = 71,442,230,446.46/295,798.08
  6. Step 6: Final answer
    x = 241,523.64

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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.