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Finding the Fourth Proportional to 503,204.34, 754,881 and 166,280.58

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Solution

The fourth proportional to 503,204.34, 754,881 and 166,280.58 is: 249,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,204.34 : 754,881 = 166,280.58 : x
  2. Step 2: Convert to fraction form
    503,204.34/754,881 = 166,280.58/x
  3. Step 3: Cross multiply
    503,204.34x = 754,881 × 166,280.58
  4. Step 4: Simplify right side
    503,204.34x = 125,522,050,510.98
  5. Step 5: Solve for x
    x = 125,522,050,510.98/503,204.34
  6. Step 6: Final answer
    x = 249,445.48

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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.