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Finding the Fourth Proportional to 403,638.62, 604,285.04 and 234,643.66

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Solution

The fourth proportional to 403,638.62, 604,285.04 and 234,643.66 is: 351,283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,638.62 : 604,285.04 = 234,643.66 : x
  2. Step 2: Convert to fraction form
    403,638.62/604,285.04 = 234,643.66/x
  3. Step 3: Cross multiply
    403,638.62x = 604,285.04 × 234,643.66
  4. Step 4: Simplify right side
    403,638.62x = 141,791,652,544.74
  5. Step 5: Solve for x
    x = 141,791,652,544.74/403,638.62
  6. Step 6: Final answer
    x = 351,283.67

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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.