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Finding the Fourth Proportional to 471,830.67, 651,133.74 and 256,970.56

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Solution

The fourth proportional to 471,830.67, 651,133.74 and 256,970.56 is: 354,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,830.67 : 651,133.74 = 256,970.56 : x
  2. Step 2: Convert to fraction form
    471,830.67/651,133.74 = 256,970.56/x
  3. Step 3: Cross multiply
    471,830.67x = 651,133.74 × 256,970.56
  4. Step 4: Simplify right side
    471,830.67x = 167,322,201,802.69
  5. Step 5: Solve for x
    x = 167,322,201,802.69/471,830.67
  6. Step 6: Final answer
    x = 354,623.41

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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.