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Finding the Fourth Proportional to 516,933.92, 713,263.42 and 302,032.46

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Solution

The fourth proportional to 516,933.92, 713,263.42 and 302,032.46 is: 416,743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,933.92 : 713,263.42 = 302,032.46 : x
  2. Step 2: Convert to fraction form
    516,933.92/713,263.42 = 302,032.46/x
  3. Step 3: Cross multiply
    516,933.92x = 713,263.42 × 302,032.46
  4. Step 4: Simplify right side
    516,933.92x = 215,428,707,531.31
  5. Step 5: Solve for x
    x = 215,428,707,531.31/516,933.92
  6. Step 6: Final answer
    x = 416,743.22

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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.