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Finding the Fourth Proportional to 556,548.37, 768,037.01 and 314,825.87

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Solution

The fourth proportional to 556,548.37, 768,037.01 and 314,825.87 is: 434,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,548.37 : 768,037.01 = 314,825.87 : x
  2. Step 2: Convert to fraction form
    556,548.37/768,037.01 = 314,825.87/x
  3. Step 3: Cross multiply
    556,548.37x = 768,037.01 × 314,825.87
  4. Step 4: Simplify right side
    556,548.37x = 241,797,920,211.41
  5. Step 5: Solve for x
    x = 241,797,920,211.41/556,548.37
  6. Step 6: Final answer
    x = 434,459.85

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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.