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Finding the Fourth Proportional to 577,090.12, 869,574.24 and 474,213.64

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Solution

The fourth proportional to 577,090.12, 869,574.24 and 474,213.64 is: 714,557.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,090.12 : 869,574.24 = 474,213.64 : x
  2. Step 2: Convert to fraction form
    577,090.12/869,574.24 = 474,213.64/x
  3. Step 3: Cross multiply
    577,090.12x = 869,574.24 × 474,213.64
  4. Step 4: Simplify right side
    577,090.12x = 412,363,965,600.63
  5. Step 5: Solve for x
    x = 412,363,965,600.63/577,090.12
  6. Step 6: Final answer
    x = 714,557.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.