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Finding the Fourth Proportional to 415,606.80, 623,717.40 and 166,467.60

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Solution

The fourth proportional to 415,606.80, 623,717.40 and 166,467.60 is: 249,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,606.80 : 623,717.40 = 166,467.60 : x
  2. Step 2: Convert to fraction form
    415,606.80/623,717.40 = 166,467.60/x
  3. Step 3: Cross multiply
    415,606.80x = 623,717.40 × 166,467.60
  4. Step 4: Simplify right side
    415,606.80x = 103,828,738,656.24
  5. Step 5: Solve for x
    x = 103,828,738,656.24/415,606.80
  6. Step 6: Final answer
    x = 249,824.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.