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Finding the Fourth Proportional to 368,257.76, 508,073.52 and 300,157.64

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Solution

The fourth proportional to 368,257.76, 508,073.52 and 300,157.64 is: 414,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,257.76 : 508,073.52 = 300,157.64 : x
  2. Step 2: Convert to fraction form
    368,257.76/508,073.52 = 300,157.64/x
  3. Step 3: Cross multiply
    368,257.76x = 508,073.52 × 300,157.64
  4. Step 4: Simplify right side
    368,257.76x = 152,502,148,709.69
  5. Step 5: Solve for x
    x = 152,502,148,709.69/368,257.76
  6. Step 6: Final answer
    x = 414,117.95

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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.