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Finding the Fourth Proportional to 333,522.88, 500,291.70 and 120,307.84

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Solution

The fourth proportional to 333,522.88, 500,291.70 and 120,307.84 is: 180,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,522.88 : 500,291.70 = 120,307.84 : x
  2. Step 2: Convert to fraction form
    333,522.88/500,291.70 = 120,307.84/x
  3. Step 3: Cross multiply
    333,522.88x = 500,291.70 × 120,307.84
  4. Step 4: Simplify right side
    333,522.88x = 60,189,013,796.93
  5. Step 5: Solve for x
    x = 60,189,013,796.93/333,522.88
  6. Step 6: Final answer
    x = 180,464.42

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1.5x scale

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.