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Finding the Fourth Proportional to 364,284.80, 546,427.20 and 187,137.80

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Solution

The fourth proportional to 364,284.80, 546,427.20 and 187,137.80 is: 280,706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,284.80 : 546,427.20 = 187,137.80 : x
  2. Step 2: Convert to fraction form
    364,284.80/546,427.20 = 187,137.80/x
  3. Step 3: Cross multiply
    364,284.80x = 546,427.20 × 187,137.80
  4. Step 4: Simplify right side
    364,284.80x = 102,257,184,068.16
  5. Step 5: Solve for x
    x = 102,257,184,068.16/364,284.80
  6. Step 6: Final answer
    x = 280,706.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.