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Finding the Fourth Proportional to 686,099.13, 946,816.79 and 417,827.13

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Solution

The fourth proportional to 686,099.13, 946,816.79 and 417,827.13 is: 576,601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,099.13 : 946,816.79 = 417,827.13 : x
  2. Step 2: Convert to fraction form
    686,099.13/946,816.79 = 417,827.13/x
  3. Step 3: Cross multiply
    686,099.13x = 946,816.79 × 417,827.13
  4. Step 4: Simplify right side
    686,099.13x = 395,605,742,001.51
  5. Step 5: Solve for x
    x = 395,605,742,001.51/686,099.13
  6. Step 6: Final answer
    x = 576,601.43

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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.