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Finding the Fourth Proportional to 295,794.86, 408,280.64 and 174,978.14

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Solution

The fourth proportional to 295,794.86, 408,280.64 and 174,978.14 is: 241,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,794.86 : 408,280.64 = 174,978.14 : x
  2. Step 2: Convert to fraction form
    295,794.86/408,280.64 = 174,978.14/x
  3. Step 3: Cross multiply
    295,794.86x = 408,280.64 × 174,978.14
  4. Step 4: Simplify right side
    295,794.86x = 71,440,184,068.92
  5. Step 5: Solve for x
    x = 71,440,184,068.92/295,794.86
  6. Step 6: Final answer
    x = 241,519.36

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1.5x scale

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.