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Finding the Fourth Proportional to 474,488.01, 711,734.75 and 194,005.26

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Solution

The fourth proportional to 474,488.01, 711,734.75 and 194,005.26 is: 291,009.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,488.01 : 711,734.75 = 194,005.26 : x
  2. Step 2: Convert to fraction form
    474,488.01/711,734.75 = 194,005.26/x
  3. Step 3: Cross multiply
    474,488.01x = 711,734.75 × 194,005.26
  4. Step 4: Simplify right side
    474,488.01x = 138,080,284,254.76
  5. Step 5: Solve for x
    x = 138,080,284,254.76/474,488.01
  6. Step 6: Final answer
    x = 291,009.01

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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.