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Finding the Fourth Proportional to 294,769.10, 406,492.37 and 187,152.29

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Solution

The fourth proportional to 294,769.10, 406,492.37 and 187,152.29 is: 258,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,769.10 : 406,492.37 = 187,152.29 : x
  2. Step 2: Convert to fraction form
    294,769.10/406,492.37 = 187,152.29/x
  3. Step 3: Cross multiply
    294,769.10x = 406,492.37 × 187,152.29
  4. Step 4: Simplify right side
    294,769.10x = 76,075,978,461.38
  5. Step 5: Solve for x
    x = 76,075,978,461.38/294,769.10
  6. Step 6: Final answer
    x = 258,086.68

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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.