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Finding the Fourth Proportional to 472,175.63, 651,602.48 and 257,315.74

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Solution

The fourth proportional to 472,175.63, 651,602.48 and 257,315.74 is: 355,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,175.63 : 651,602.48 = 257,315.74 : x
  2. Step 2: Convert to fraction form
    472,175.63/651,602.48 = 257,315.74/x
  3. Step 3: Cross multiply
    472,175.63x = 651,602.48 × 257,315.74
  4. Step 4: Simplify right side
    472,175.63x = 167,667,571,411.45
  5. Step 5: Solve for x
    x = 167,667,571,411.45/472,175.63
  6. Step 6: Final answer
    x = 355,095.78

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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.