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Finding the Fourth Proportional to 566,434.64, 781,754.46 and 340,094.72

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Solution

The fourth proportional to 566,434.64, 781,754.46 and 340,094.72 is: 469,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,434.64 : 781,754.46 = 340,094.72 : x
  2. Step 2: Convert to fraction form
    566,434.64/781,754.46 = 340,094.72/x
  3. Step 3: Cross multiply
    566,434.64x = 781,754.46 × 340,094.72
  4. Step 4: Simplify right side
    566,434.64x = 265,870,564,861.48
  5. Step 5: Solve for x
    x = 265,870,564,861.48/566,434.64
  6. Step 6: Final answer
    x = 469,375.54

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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.