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Finding the Fourth Proportional to 472,162.25, 651,582.90 and 257,301.80

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Solution

The fourth proportional to 472,162.25, 651,582.90 and 257,301.80 is: 355,075.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,162.25 : 651,582.90 = 257,301.80 : x
  2. Step 2: Convert to fraction form
    472,162.25/651,582.90 = 257,301.80/x
  3. Step 3: Cross multiply
    472,162.25x = 651,582.90 × 257,301.80
  4. Step 4: Simplify right side
    472,162.25x = 167,653,453,019.22
  5. Step 5: Solve for x
    x = 167,653,453,019.22/472,162.25
  6. Step 6: Final answer
    x = 355,075.94

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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.