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Finding the Fourth Proportional to 503,205.34, 754,882.50 and 166,281.58

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Solution

The fourth proportional to 503,205.34, 754,882.50 and 166,281.58 is: 249,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,205.34 : 754,882.50 = 166,281.58 : x
  2. Step 2: Convert to fraction form
    503,205.34/754,882.50 = 166,281.58/x
  3. Step 3: Cross multiply
    503,205.34x = 754,882.50 × 166,281.58
  4. Step 4: Simplify right side
    503,205.34x = 125,523,054,814.35
  5. Step 5: Solve for x
    x = 125,523,054,814.35/503,205.34
  6. Step 6: Final answer
    x = 249,446.98

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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.