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Finding the Fourth Proportional to 358,358.44, 494,368.50 and 214,869.10

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Solution

The fourth proportional to 358,358.44, 494,368.50 and 214,869.10 is: 296,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,358.44 : 494,368.50 = 214,869.10 : x
  2. Step 2: Convert to fraction form
    358,358.44/494,368.50 = 214,869.10/x
  3. Step 3: Cross multiply
    358,358.44x = 494,368.50 × 214,869.10
  4. Step 4: Simplify right side
    358,358.44x = 106,224,514,663.35
  5. Step 5: Solve for x
    x = 106,224,514,663.35/358,358.44
  6. Step 6: Final answer
    x = 296,419.74

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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.