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Finding the Fourth Proportional to 358,819.34, 537,186.53 and 208,601.60

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Solution

The fourth proportional to 358,819.34, 537,186.53 and 208,601.60 is: 312,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,819.34 : 537,186.53 = 208,601.60 : x
  2. Step 2: Convert to fraction form
    358,819.34/537,186.53 = 208,601.60/x
  3. Step 3: Cross multiply
    358,819.34x = 537,186.53 × 208,601.60
  4. Step 4: Simplify right side
    358,819.34x = 112,057,967,492.02
  5. Step 5: Solve for x
    x = 112,057,967,492.02/358,819.34
  6. Step 6: Final answer
    x = 312,296.35

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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.