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Finding the Fourth Proportional to 317,000.65, 475,530.36 and 114,647.35

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Solution

The fourth proportional to 317,000.65, 475,530.36 and 114,647.35 is: 171,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,000.65 : 475,530.36 = 114,647.35 : x
  2. Step 2: Convert to fraction form
    317,000.65/475,530.36 = 114,647.35/x
  3. Step 3: Cross multiply
    317,000.65x = 475,530.36 × 114,647.35
  4. Step 4: Simplify right side
    317,000.65x = 54,518,295,618.55
  5. Step 5: Solve for x
    x = 54,518,295,618.55/317,000.65
  6. Step 6: Final answer
    x = 171,981.65

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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.