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Finding the Fourth Proportional to 471,964.42, 651,307.53 and 257,104.43

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Solution

The fourth proportional to 471,964.42, 651,307.53 and 257,104.43 is: 354,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,964.42 : 651,307.53 = 257,104.43 : x
  2. Step 2: Convert to fraction form
    471,964.42/651,307.53 = 257,104.43/x
  3. Step 3: Cross multiply
    471,964.42x = 651,307.53 × 257,104.43
  4. Step 4: Simplify right side
    471,964.42x = 167,454,051,405.37
  5. Step 5: Solve for x
    x = 167,454,051,405.37/471,964.42
  6. Step 6: Final answer
    x = 354,802.28

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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.