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Finding the Fourth Proportional to 577,089.12, 869,572.74 and 474,212.64

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Solution

The fourth proportional to 577,089.12, 869,572.74 and 474,212.64 is: 714,555.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,089.12 : 869,572.74 = 474,212.64 : x
  2. Step 2: Convert to fraction form
    577,089.12/869,572.74 = 474,212.64/x
  3. Step 3: Cross multiply
    577,089.12x = 869,572.74 × 474,212.64
  4. Step 4: Simplify right side
    577,089.12x = 412,362,384,707.43
  5. Step 5: Solve for x
    x = 412,362,384,707.43/577,089.12
  6. Step 6: Final answer
    x = 714,555.81

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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.