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Finding the Fourth Proportional to 528,727.57, 729,656.38 and 313,868.46

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Solution

The fourth proportional to 528,727.57, 729,656.38 and 313,868.46 is: 433,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,727.57 : 729,656.38 = 313,868.46 : x
  2. Step 2: Convert to fraction form
    528,727.57/729,656.38 = 313,868.46/x
  3. Step 3: Cross multiply
    528,727.57x = 729,656.38 × 313,868.46
  4. Step 4: Simplify right side
    528,727.57x = 229,016,124,319.78
  5. Step 5: Solve for x
    x = 229,016,124,319.78/528,727.57
  6. Step 6: Final answer
    x = 433,145.80

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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.