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Finding the Fourth Proportional to 317,166.10, 475,830.15 and 223,854.10

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Solution

The fourth proportional to 317,166.10, 475,830.15 and 223,854.10 is: 335,838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,166.10 : 475,830.15 = 223,854.10 : x
  2. Step 2: Convert to fraction form
    317,166.10/475,830.15 = 223,854.10/x
  3. Step 3: Cross multiply
    317,166.10x = 475,830.15 × 223,854.10
  4. Step 4: Simplify right side
    317,166.10x = 106,516,529,981.12
  5. Step 5: Solve for x
    x = 106,516,529,981.12/317,166.10
  6. Step 6: Final answer
    x = 335,838.32

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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.