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Finding the Fourth Proportional to 472,030.65, 651,396.21 and 257,170.88

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Solution

The fourth proportional to 472,030.65, 651,396.21 and 257,170.88 is: 354,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,030.65 : 651,396.21 = 257,170.88 : x
  2. Step 2: Convert to fraction form
    472,030.65/651,396.21 = 257,170.88/x
  3. Step 3: Cross multiply
    472,030.65x = 651,396.21 × 257,170.88
  4. Step 4: Simplify right side
    472,030.65x = 167,520,133,297.38
  5. Step 5: Solve for x
    x = 167,520,133,297.38/472,030.65
  6. Step 6: Final answer
    x = 354,892.49

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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.