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Finding the Fourth Proportional to 523,476.92, 785,606.16 and 388,851.82

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Solution

The fourth proportional to 523,476.92, 785,606.16 and 388,851.82 is: 583,568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,476.92 : 785,606.16 = 388,851.82 : x
  2. Step 2: Convert to fraction form
    523,476.92/785,606.16 = 388,851.82/x
  3. Step 3: Cross multiply
    523,476.92x = 785,606.16 × 388,851.82
  4. Step 4: Simplify right side
    523,476.92x = 305,484,385,119.21
  5. Step 5: Solve for x
    x = 305,484,385,119.21/523,476.92
  6. Step 6: Final answer
    x = 583,568.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.