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Finding the Fourth Proportional to 410,347.74, 566,289.46 and 257,392.42

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Solution

The fourth proportional to 410,347.74, 566,289.46 and 257,392.42 is: 355,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,347.74 : 566,289.46 = 257,392.42 : x
  2. Step 2: Convert to fraction form
    410,347.74/566,289.46 = 257,392.42/x
  3. Step 3: Cross multiply
    410,347.74x = 566,289.46 × 257,392.42
  4. Step 4: Simplify right side
    410,347.74x = 145,758,614,529.89
  5. Step 5: Solve for x
    x = 145,758,614,529.89/410,347.74
  6. Step 6: Final answer
    x = 355,207.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.