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Finding the Fourth Proportional to 477,153.50, 658,625.04 and 305,533.53

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Solution

The fourth proportional to 477,153.50, 658,625.04 and 305,533.53 is: 421,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,153.50 : 658,625.04 = 305,533.53 : x
  2. Step 2: Convert to fraction form
    477,153.50/658,625.04 = 305,533.53/x
  3. Step 3: Cross multiply
    477,153.50x = 658,625.04 × 305,533.53
  4. Step 4: Simplify right side
    477,153.50x = 201,232,033,417.59
  5. Step 5: Solve for x
    x = 201,232,033,417.59/477,153.50
  6. Step 6: Final answer
    x = 421,734.38

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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.