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Finding the Fourth Proportional to 294,738.39, 406,738.98 and 160,602.39

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Solution

The fourth proportional to 294,738.39, 406,738.98 and 160,602.39 is: 221,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,738.39 : 406,738.98 = 160,602.39 : x
  2. Step 2: Convert to fraction form
    294,738.39/406,738.98 = 160,602.39/x
  3. Step 3: Cross multiply
    294,738.39x = 406,738.98 × 160,602.39
  4. Step 4: Simplify right side
    294,738.39x = 65,323,252,294.16
  5. Step 5: Solve for x
    x = 65,323,252,294.16/294,738.39
  6. Step 6: Final answer
    x = 221,631.30

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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.