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Finding the Fourth Proportional to 472,302, 651,757.68 and 257,437.44

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Solution

The fourth proportional to 472,302, 651,757.68 and 257,437.44 is: 355,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,302 : 651,757.68 = 257,437.44 : x
  2. Step 2: Convert to fraction form
    472,302/651,757.68 = 257,437.44/x
  3. Step 3: Cross multiply
    472,302x = 651,757.68 × 257,437.44
  4. Step 4: Simplify right side
    472,302x = 167,786,828,639.54
  5. Step 5: Solve for x
    x = 167,786,828,639.54/472,302
  6. Step 6: Final answer
    x = 355,253.27

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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.