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Finding the Fourth Proportional to 364,317.76, 546,476.15 and 98,078.57

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Solution

The fourth proportional to 364,317.76, 546,476.15 and 98,078.57 is: 147,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,317.76 : 546,476.15 = 98,078.57 : x
  2. Step 2: Convert to fraction form
    364,317.76/546,476.15 = 98,078.57/x
  3. Step 3: Cross multiply
    364,317.76x = 546,476.15 × 98,078.57
  4. Step 4: Simplify right side
    364,317.76x = 53,597,596,843.92
  5. Step 5: Solve for x
    x = 53,597,596,843.92/364,317.76
  6. Step 6: Final answer
    x = 147,117.72

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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.