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Finding the Fourth Proportional to 294,596.50, 406,543.18 and 160,460.50

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Solution

The fourth proportional to 294,596.50, 406,543.18 and 160,460.50 is: 221,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,596.50 : 406,543.18 = 160,460.50 : x
  2. Step 2: Convert to fraction form
    294,596.50/406,543.18 = 160,460.50/x
  3. Step 3: Cross multiply
    294,596.50x = 406,543.18 × 160,460.50
  4. Step 4: Simplify right side
    294,596.50x = 65,234,121,934.39
  5. Step 5: Solve for x
    x = 65,234,121,934.39/294,596.50
  6. Step 6: Final answer
    x = 221,435.50

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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.