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Finding the Fourth Proportional to 602,485.48, 903,175.26 and 208,225

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Solution

The fourth proportional to 602,485.48, 903,175.26 and 208,225 is: 312,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,485.48 : 903,175.26 = 208,225 : x
  2. Step 2: Convert to fraction form
    602,485.48/903,175.26 = 208,225/x
  3. Step 3: Cross multiply
    602,485.48x = 903,175.26 × 208,225
  4. Step 4: Simplify right side
    602,485.48x = 188,063,668,513.50
  5. Step 5: Solve for x
    x = 188,063,668,513.50/602,485.48
  6. Step 6: Final answer
    x = 312,146.39

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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.