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Finding the Fourth Proportional to 533,136.68, 735,708.30 and 291,417.20

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Solution

The fourth proportional to 533,136.68, 735,708.30 and 291,417.20 is: 402,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,136.68 : 735,708.30 = 291,417.20 : x
  2. Step 2: Convert to fraction form
    533,136.68/735,708.30 = 291,417.20/x
  3. Step 3: Cross multiply
    533,136.68x = 735,708.30 × 291,417.20
  4. Step 4: Simplify right side
    533,136.68x = 214,398,052,802.76
  5. Step 5: Solve for x
    x = 214,398,052,802.76/533,136.68
  6. Step 6: Final answer
    x = 402,144.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.