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Finding the Fourth Proportional to 523,474.29, 785,602.26 and 388,849.23

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Solution

The fourth proportional to 523,474.29, 785,602.26 and 388,849.23 is: 583,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,474.29 : 785,602.26 = 388,849.23 : x
  2. Step 2: Convert to fraction form
    523,474.29/785,602.26 = 388,849.23/x
  3. Step 3: Cross multiply
    523,474.29x = 785,602.26 × 388,849.23
  4. Step 4: Simplify right side
    523,474.29x = 305,480,833,887.26
  5. Step 5: Solve for x
    x = 305,480,833,887.26/523,474.29
  6. Step 6: Final answer
    x = 583,564.16

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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.