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Finding the Fourth Proportional to 413,928.53, 620,875.51 and 118,440.53

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Solution

The fourth proportional to 413,928.53, 620,875.51 and 118,440.53 is: 177,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,928.53 : 620,875.51 = 118,440.53 : x
  2. Step 2: Convert to fraction form
    413,928.53/620,875.51 = 118,440.53/x
  3. Step 3: Cross multiply
    413,928.53x = 620,875.51 × 118,440.53
  4. Step 4: Simplify right side
    413,928.53x = 73,536,824,468.42
  5. Step 5: Solve for x
    x = 73,536,824,468.42/413,928.53
  6. Step 6: Final answer
    x = 177,655.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.