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Finding the Fourth Proportional to 416,707.31, 575,098.67 and 300,516.77

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Solution

The fourth proportional to 416,707.31, 575,098.67 and 300,516.77 is: 414,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,707.31 : 575,098.67 = 300,516.77 : x
  2. Step 2: Convert to fraction form
    416,707.31/575,098.67 = 300,516.77/x
  3. Step 3: Cross multiply
    416,707.31x = 575,098.67 × 300,516.77
  4. Step 4: Simplify right side
    416,707.31x = 172,826,796,928.74
  5. Step 5: Solve for x
    x = 172,826,796,928.74/416,707.31
  6. Step 6: Final answer
    x = 414,743.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.