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Finding the Fourth Proportional to 533,630.86, 736,410.34 and 291,913.37

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Solution

The fourth proportional to 533,630.86, 736,410.34 and 291,913.37 is: 402,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,630.86 : 736,410.34 = 291,913.37 : x
  2. Step 2: Convert to fraction form
    533,630.86/736,410.34 = 291,913.37/x
  3. Step 3: Cross multiply
    533,630.86x = 736,410.34 × 291,913.37
  4. Step 4: Simplify right side
    533,630.86x = 214,968,024,052.25
  5. Step 5: Solve for x
    x = 214,968,024,052.25/533,630.86
  6. Step 6: Final answer
    x = 402,840.32

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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.