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Finding the Fourth Proportional to 446,456.71, 616,121.39 and 242,507.57

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Solution

The fourth proportional to 446,456.71, 616,121.39 and 242,507.57 is: 334,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,456.71 : 616,121.39 = 242,507.57 : x
  2. Step 2: Convert to fraction form
    446,456.71/616,121.39 = 242,507.57/x
  3. Step 3: Cross multiply
    446,456.71x = 616,121.39 × 242,507.57
  4. Step 4: Simplify right side
    446,456.71x = 149,414,100,741.16
  5. Step 5: Solve for x
    x = 149,414,100,741.16/446,456.71
  6. Step 6: Final answer
    x = 334,666.49

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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.