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Finding the Fourth Proportional to 533,842.94, 736,703.26 and 292,125.56

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Solution

The fourth proportional to 533,842.94, 736,703.26 and 292,125.56 is: 403,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,842.94 : 736,703.26 = 292,125.56 : x
  2. Step 2: Convert to fraction form
    533,842.94/736,703.26 = 292,125.56/x
  3. Step 3: Cross multiply
    533,842.94x = 736,703.26 × 292,125.56
  4. Step 4: Simplify right side
    533,842.94x = 215,209,847,967.50
  5. Step 5: Solve for x
    x = 215,209,847,967.50/533,842.94
  6. Step 6: Final answer
    x = 403,133.26

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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.