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Finding the Fourth Proportional to 456,626.16, 685,354.77 and 243,574.70

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Solution

The fourth proportional to 456,626.16, 685,354.77 and 243,574.70 is: 365,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,626.16 : 685,354.77 = 243,574.70 : x
  2. Step 2: Convert to fraction form
    456,626.16/685,354.77 = 243,574.70/x
  3. Step 3: Cross multiply
    456,626.16x = 685,354.77 × 243,574.70
  4. Step 4: Simplify right side
    456,626.16x = 166,935,079,069.55
  5. Step 5: Solve for x
    x = 166,935,079,069.55/456,626.16
  6. Step 6: Final answer
    x = 365,583.70

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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.