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Finding the Fourth Proportional to 412,799.16, 569,135.48 and 267,347.96

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Solution

The fourth proportional to 412,799.16, 569,135.48 and 267,347.96 is: 368,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,799.16 : 569,135.48 = 267,347.96 : x
  2. Step 2: Convert to fraction form
    412,799.16/569,135.48 = 267,347.96/x
  3. Step 3: Cross multiply
    412,799.16x = 569,135.48 × 267,347.96
  4. Step 4: Simplify right side
    412,799.16x = 152,157,209,541.62
  5. Step 5: Solve for x
    x = 152,157,209,541.62/412,799.16
  6. Step 6: Final answer
    x = 368,598.64

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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.