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Finding the Fourth Proportional to 364,565.70, 546,848.55 and 204,477.30

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Solution

The fourth proportional to 364,565.70, 546,848.55 and 204,477.30 is: 306,715.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,565.70 : 546,848.55 = 204,477.30 : x
  2. Step 2: Convert to fraction form
    364,565.70/546,848.55 = 204,477.30/x
  3. Step 3: Cross multiply
    364,565.70x = 546,848.55 × 204,477.30
  4. Step 4: Simplify right side
    364,565.70x = 111,818,115,012.92
  5. Step 5: Solve for x
    x = 111,818,115,012.92/364,565.70
  6. Step 6: Final answer
    x = 306,715.95

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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.