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Finding the Fourth Proportional to 358,905.60, 537,668.52 and 200,654.16

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Solution

The fourth proportional to 358,905.60, 537,668.52 and 200,654.16 is: 300,595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,905.60 : 537,668.52 = 200,654.16 : x
  2. Step 2: Convert to fraction form
    358,905.60/537,668.52 = 200,654.16/x
  3. Step 3: Cross multiply
    358,905.60x = 537,668.52 × 200,654.16
  4. Step 4: Simplify right side
    358,905.60x = 107,885,425,239.04
  5. Step 5: Solve for x
    x = 107,885,425,239.04/358,905.60
  6. Step 6: Final answer
    x = 300,595.55

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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.