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Finding the Fourth Proportional to 364,089.69, 502,116.57 and 228,138.21

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Solution

The fourth proportional to 364,089.69, 502,116.57 and 228,138.21 is: 314,625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,089.69 : 502,116.57 = 228,138.21 : x
  2. Step 2: Convert to fraction form
    364,089.69/502,116.57 = 228,138.21/x
  3. Step 3: Cross multiply
    364,089.69x = 502,116.57 × 228,138.21
  4. Step 4: Simplify right side
    364,089.69x = 114,551,975,491.14
  5. Step 5: Solve for x
    x = 114,551,975,491.14/364,089.69
  6. Step 6: Final answer
    x = 314,625.71

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Double scale
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1.5x scale

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.