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Finding the Fourth Proportional to 472,182.87, 651,593.40 and 257,318.33

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Solution

The fourth proportional to 472,182.87, 651,593.40 and 257,318.33 is: 355,088.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,182.87 : 651,593.40 = 257,318.33 : x
  2. Step 2: Convert to fraction form
    472,182.87/651,593.40 = 257,318.33/x
  3. Step 3: Cross multiply
    472,182.87x = 651,593.40 × 257,318.33
  4. Step 4: Simplify right side
    472,182.87x = 167,666,922,269.06
  5. Step 5: Solve for x
    x = 167,666,922,269.06/472,182.87
  6. Step 6: Final answer
    x = 355,088.96

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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.