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Finding the Fourth Proportional to 403,064.76, 604,838.02 and 150,522.60

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Solution

The fourth proportional to 403,064.76, 604,838.02 and 150,522.60 is: 225,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,064.76 : 604,838.02 = 150,522.60 : x
  2. Step 2: Convert to fraction form
    403,064.76/604,838.02 = 150,522.60/x
  3. Step 3: Cross multiply
    403,064.76x = 604,838.02 × 150,522.60
  4. Step 4: Simplify right side
    403,064.76x = 91,041,791,349.25
  5. Step 5: Solve for x
    x = 91,041,791,349.25/403,064.76
  6. Step 6: Final answer
    x = 225,873.86

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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.