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Finding the Fourth Proportional to 333,465, 500,141 and 93,523.76

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Solution

The fourth proportional to 333,465, 500,141 and 93,523.76 is: 140,269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,465 : 500,141 = 93,523.76 : x
  2. Step 2: Convert to fraction form
    333,465/500,141 = 93,523.76/x
  3. Step 3: Cross multiply
    333,465x = 500,141 × 93,523.76
  4. Step 4: Simplify right side
    333,465x = 46,775,066,850.16
  5. Step 5: Solve for x
    x = 46,775,066,850.16/333,465
  6. Step 6: Final answer
    x = 140,269.79

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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.