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Finding the Fourth Proportional to 475,730.29, 712,195.74 and 317,566.45

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Solution

The fourth proportional to 475,730.29, 712,195.74 and 317,566.45 is: 475,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,730.29 : 712,195.74 = 317,566.45 : x
  2. Step 2: Convert to fraction form
    475,730.29/712,195.74 = 317,566.45/x
  3. Step 3: Cross multiply
    475,730.29x = 712,195.74 × 317,566.45
  4. Step 4: Simplify right side
    475,730.29x = 226,169,472,856.92
  5. Step 5: Solve for x
    x = 226,169,472,856.92/475,730.29
  6. Step 6: Final answer
    x = 475,415.33

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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.