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Finding the Fourth Proportional to 364,448.56, 546,711.72 and 154,107.76

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Solution

The fourth proportional to 364,448.56, 546,711.72 and 154,107.76 is: 231,178.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,448.56 : 546,711.72 = 154,107.76 : x
  2. Step 2: Convert to fraction form
    364,448.56/546,711.72 = 154,107.76/x
  3. Step 3: Cross multiply
    364,448.56x = 546,711.72 × 154,107.76
  4. Step 4: Simplify right side
    364,448.56x = 84,252,518,534.95
  5. Step 5: Solve for x
    x = 84,252,518,534.95/364,448.56
  6. Step 6: Final answer
    x = 231,178.08

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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.