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Finding the Fourth Proportional to 533,907.80, 799,695.30 and 414,643.40

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Solution

The fourth proportional to 533,907.80, 799,695.30 and 414,643.40 is: 621,059.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,907.80 : 799,695.30 = 414,643.40 : x
  2. Step 2: Convert to fraction form
    533,907.80/799,695.30 = 414,643.40/x
  3. Step 3: Cross multiply
    533,907.80x = 799,695.30 × 414,643.40
  4. Step 4: Simplify right side
    533,907.80x = 331,588,378,156.02
  5. Step 5: Solve for x
    x = 331,588,378,156.02/533,907.80
  6. Step 6: Final answer
    x = 621,059.25

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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.