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Finding the Fourth Proportional to 358,833.60, 537,602.40 and 208,951.20

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Solution

The fourth proportional to 358,833.60, 537,602.40 and 208,951.20 is: 313,049.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,833.60 : 537,602.40 = 208,951.20 : x
  2. Step 2: Convert to fraction form
    358,833.60/537,602.40 = 208,951.20/x
  3. Step 3: Cross multiply
    358,833.60x = 537,602.40 × 208,951.20
  4. Step 4: Simplify right side
    358,833.60x = 112,332,666,602.88
  5. Step 5: Solve for x
    x = 112,332,666,602.88/358,833.60
  6. Step 6: Final answer
    x = 313,049.47

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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.