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Finding the Fourth Proportional to 408,047.10, 612,070.65 and 171,656.70

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Solution

The fourth proportional to 408,047.10, 612,070.65 and 171,656.70 is: 257,485.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,047.10 : 612,070.65 = 171,656.70 : x
  2. Step 2: Convert to fraction form
    408,047.10/612,070.65 = 171,656.70/x
  3. Step 3: Cross multiply
    408,047.10x = 612,070.65 × 171,656.70
  4. Step 4: Simplify right side
    408,047.10x = 105,066,027,945.86
  5. Step 5: Solve for x
    x = 105,066,027,945.86/408,047.10
  6. Step 6: Final answer
    x = 257,485.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.