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Finding the Fourth Proportional to 471,678.19, 650,927.58 and 256,830.01

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Solution

The fourth proportional to 471,678.19, 650,927.58 and 256,830.01 is: 354,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,678.19 : 650,927.58 = 256,830.01 : x
  2. Step 2: Convert to fraction form
    471,678.19/650,927.58 = 256,830.01/x
  3. Step 3: Cross multiply
    471,678.19x = 650,927.58 × 256,830.01
  4. Step 4: Simplify right side
    471,678.19x = 167,177,736,880.68
  5. Step 5: Solve for x
    x = 167,177,736,880.68/471,678.19
  6. Step 6: Final answer
    x = 354,431.77

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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.