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Finding the Fourth Proportional to 301,147.01, 416,071.01 and 256,298.93

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Solution

The fourth proportional to 301,147.01, 416,071.01 and 256,298.93 is: 354,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,147.01 : 416,071.01 = 256,298.93 : x
  2. Step 2: Convert to fraction form
    301,147.01/416,071.01 = 256,298.93/x
  3. Step 3: Cross multiply
    301,147.01x = 416,071.01 × 256,298.93
  4. Step 4: Simplify right side
    301,147.01x = 106,638,553,626.84
  5. Step 5: Solve for x
    x = 106,638,553,626.84/301,147.01
  6. Step 6: Final answer
    x = 354,107.96

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1.5x scale

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.