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Finding the Fourth Proportional to 472,118.63, 651,524.01 and 257,258.63

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Solution

The fourth proportional to 472,118.63, 651,524.01 and 257,258.63 is: 355,017.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,118.63 : 651,524.01 = 257,258.63 : x
  2. Step 2: Convert to fraction form
    472,118.63/651,524.01 = 257,258.63/x
  3. Step 3: Cross multiply
    472,118.63x = 651,524.01 × 257,258.63
  4. Step 4: Simplify right side
    472,118.63x = 167,610,174,888.80
  5. Step 5: Solve for x
    x = 167,610,174,888.80/472,118.63
  6. Step 6: Final answer
    x = 355,017.08

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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.