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Finding the Fourth Proportional to 533,194.47, 735,806.70 and 291,477.24

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Solution

The fourth proportional to 533,194.47, 735,806.70 and 291,477.24 is: 402,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,194.47 : 735,806.70 = 291,477.24 : x
  2. Step 2: Convert to fraction form
    533,194.47/735,806.70 = 291,477.24/x
  3. Step 3: Cross multiply
    533,194.47x = 735,806.70 × 291,477.24
  4. Step 4: Simplify right side
    533,194.47x = 214,470,906,089.51
  5. Step 5: Solve for x
    x = 214,470,906,089.51/533,194.47
  6. Step 6: Final answer
    x = 402,237.68

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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.