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Finding the Fourth Proportional to 340,870.64, 471,251.78 and 255,840.08

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Solution

The fourth proportional to 340,870.64, 471,251.78 and 255,840.08 is: 353,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,870.64 : 471,251.78 = 255,840.08 : x
  2. Step 2: Convert to fraction form
    340,870.64/471,251.78 = 255,840.08/x
  3. Step 3: Cross multiply
    340,870.64x = 471,251.78 × 255,840.08
  4. Step 4: Simplify right side
    340,870.64x = 120,565,093,095.34
  5. Step 5: Solve for x
    x = 120,565,093,095.34/340,870.64
  6. Step 6: Final answer
    x = 353,697.50

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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.