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Finding the Fourth Proportional to 412,783.83, 569,114.35 and 267,332.60

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Solution

The fourth proportional to 412,783.83, 569,114.35 and 267,332.60 is: 368,577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,783.83 : 569,114.35 = 267,332.60 : x
  2. Step 2: Convert to fraction form
    412,783.83/569,114.35 = 267,332.60/x
  3. Step 3: Cross multiply
    412,783.83x = 569,114.35 × 267,332.60
  4. Step 4: Simplify right side
    412,783.83x = 152,142,819,637.26
  5. Step 5: Solve for x
    x = 152,142,819,637.26/412,783.83
  6. Step 6: Final answer
    x = 368,577.47

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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.