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Finding the Fourth Proportional to 471,928.33, 651,257.74 and 257,068.38

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Solution

The fourth proportional to 471,928.33, 651,257.74 and 257,068.38 is: 354,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,928.33 : 651,257.74 = 257,068.38 : x
  2. Step 2: Convert to fraction form
    471,928.33/651,257.74 = 257,068.38/x
  3. Step 3: Cross multiply
    471,928.33x = 651,257.74 × 257,068.38
  4. Step 4: Simplify right side
    471,928.33x = 167,417,775,670.82
  5. Step 5: Solve for x
    x = 167,417,775,670.82/471,928.33
  6. Step 6: Final answer
    x = 354,752.55

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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.