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Finding the Fourth Proportional to 472,194.90, 651,609.97 and 257,330.32

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Solution

The fourth proportional to 472,194.90, 651,609.97 and 257,330.32 is: 355,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,194.90 : 651,609.97 = 257,330.32 : x
  2. Step 2: Convert to fraction form
    472,194.90/651,609.97 = 257,330.32/x
  3. Step 3: Cross multiply
    472,194.90x = 651,609.97 × 257,330.32
  4. Step 4: Simplify right side
    472,194.90x = 167,678,999,822.94
  5. Step 5: Solve for x
    x = 167,678,999,822.94/472,194.90
  6. Step 6: Final answer
    x = 355,105.49

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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.