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Finding the Fourth Proportional to 474,574.14, 712,094.76 and 221,871.96

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Solution

The fourth proportional to 474,574.14, 712,094.76 and 221,871.96 is: 332,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,574.14 : 712,094.76 = 221,871.96 : x
  2. Step 2: Convert to fraction form
    474,574.14/712,094.76 = 221,871.96/x
  3. Step 3: Cross multiply
    474,574.14x = 712,094.76 × 221,871.96
  4. Step 4: Simplify right side
    474,574.14x = 157,993,860,106.93
  5. Step 5: Solve for x
    x = 157,993,860,106.93/474,574.14
  6. Step 6: Final answer
    x = 332,917.13

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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.