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Finding the Fourth Proportional to 686,703.92, 947,458.11 and 541,058.16

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Solution

The fourth proportional to 686,703.92, 947,458.11 and 541,058.16 is: 746,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,703.92 : 947,458.11 = 541,058.16 : x
  2. Step 2: Convert to fraction form
    686,703.92/947,458.11 = 541,058.16/x
  3. Step 3: Cross multiply
    686,703.92x = 947,458.11 × 541,058.16
  4. Step 4: Simplify right side
    686,703.92x = 512,629,941,673.68
  5. Step 5: Solve for x
    x = 512,629,941,673.68/686,703.92
  6. Step 6: Final answer
    x = 746,507.96

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Double scale
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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.