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Finding the Fourth Proportional to 533,077.07, 735,169.97 and 442,289.23

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Solution

The fourth proportional to 533,077.07, 735,169.97 and 442,289.23 is: 609,963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,077.07 : 735,169.97 = 442,289.23 : x
  2. Step 2: Convert to fraction form
    533,077.07/735,169.97 = 442,289.23/x
  3. Step 3: Cross multiply
    533,077.07x = 735,169.97 × 442,289.23
  4. Step 4: Simplify right side
    533,077.07x = 325,157,759,218.22
  5. Step 5: Solve for x
    x = 325,157,759,218.22/533,077.07
  6. Step 6: Final answer
    x = 609,963.89

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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.