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Finding the Fourth Proportional to 369,882.04, 510,464.16 and 208,751.14

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Solution

The fourth proportional to 369,882.04, 510,464.16 and 208,751.14 is: 288,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,882.04 : 510,464.16 = 208,751.14 : x
  2. Step 2: Convert to fraction form
    369,882.04/510,464.16 = 208,751.14/x
  3. Step 3: Cross multiply
    369,882.04x = 510,464.16 × 208,751.14
  4. Step 4: Simplify right side
    369,882.04x = 106,559,975,329.14
  5. Step 5: Solve for x
    x = 106,559,975,329.14/369,882.04
  6. Step 6: Final answer
    x = 288,091.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.