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Finding the Fourth Proportional to 472,458.62, 651,996 and 257,602.25

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Solution

The fourth proportional to 472,458.62, 651,996 and 257,602.25 is: 355,492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,458.62 : 651,996 = 257,602.25 : x
  2. Step 2: Convert to fraction form
    472,458.62/651,996 = 257,602.25/x
  3. Step 3: Cross multiply
    472,458.62x = 651,996 × 257,602.25
  4. Step 4: Simplify right side
    472,458.62x = 167,955,633,331.02
  5. Step 5: Solve for x
    x = 167,955,633,331.02/472,458.62
  6. Step 6: Final answer
    x = 355,492.79

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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.