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Finding the Fourth Proportional to 417,706.64, 576,419.73 and 226,715.93

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Solution

The fourth proportional to 417,706.64, 576,419.73 and 226,715.93 is: 312,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,706.64 : 576,419.73 = 226,715.93 : x
  2. Step 2: Convert to fraction form
    417,706.64/576,419.73 = 226,715.93/x
  3. Step 3: Cross multiply
    417,706.64x = 576,419.73 × 226,715.93
  4. Step 4: Simplify right side
    417,706.64x = 130,683,533,586.59
  5. Step 5: Solve for x
    x = 130,683,533,586.59/417,706.64
  6. Step 6: Final answer
    x = 312,859.60

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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.