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Finding the Fourth Proportional to 533,363.06, 736,035.98 and 291,643.14

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Solution

The fourth proportional to 533,363.06, 736,035.98 and 291,643.14 is: 402,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,363.06 : 736,035.98 = 291,643.14 : x
  2. Step 2: Convert to fraction form
    533,363.06/736,035.98 = 291,643.14/x
  3. Step 3: Cross multiply
    533,363.06x = 736,035.98 × 291,643.14
  4. Step 4: Simplify right side
    533,363.06x = 214,659,844,360.18
  5. Step 5: Solve for x
    x = 214,659,844,360.18/533,363.06
  6. Step 6: Final answer
    x = 402,464.78

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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.