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Finding the Fourth Proportional to 474,271.10, 711,686.86 and 174,961.86

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Solution

The fourth proportional to 474,271.10, 711,686.86 and 174,961.86 is: 262,546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,271.10 : 711,686.86 = 174,961.86 : x
  2. Step 2: Convert to fraction form
    474,271.10/711,686.86 = 174,961.86/x
  3. Step 3: Cross multiply
    474,271.10x = 711,686.86 × 174,961.86
  4. Step 4: Simplify right side
    474,271.10x = 124,518,053,656.93
  5. Step 5: Solve for x
    x = 124,518,053,656.93/474,271.10
  6. Step 6: Final answer
    x = 262,546.16

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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.