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Finding the Fourth Proportional to 652,314.69, 977,668.92 and 310,937.63

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Solution

The fourth proportional to 652,314.69, 977,668.92 and 310,937.63 is: 466,023.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,314.69 : 977,668.92 = 310,937.63 : x
  2. Step 2: Convert to fraction form
    652,314.69/977,668.92 = 310,937.63/x
  3. Step 3: Cross multiply
    652,314.69x = 977,668.92 × 310,937.63
  4. Step 4: Simplify right side
    652,314.69x = 303,994,052,021.12
  5. Step 5: Solve for x
    x = 303,994,052,021.12/652,314.69
  6. Step 6: Final answer
    x = 466,023.62

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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.