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Finding the Fourth Proportional to 385,596.64, 532,123.28 and 215,830.80

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Solution

The fourth proportional to 385,596.64, 532,123.28 and 215,830.80 is: 297,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,596.64 : 532,123.28 = 215,830.80 : x
  2. Step 2: Convert to fraction form
    385,596.64/532,123.28 = 215,830.80/x
  3. Step 3: Cross multiply
    385,596.64x = 532,123.28 × 215,830.80
  4. Step 4: Simplify right side
    385,596.64x = 114,848,593,221.02
  5. Step 5: Solve for x
    x = 114,848,593,221.02/385,596.64
  6. Step 6: Final answer
    x = 297,846.46

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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.