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Finding the Fourth Proportional to 295,967.10, 408,424.64 and 187,130.02

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Solution

The fourth proportional to 295,967.10, 408,424.64 and 187,130.02 is: 258,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,967.10 : 408,424.64 = 187,130.02 : x
  2. Step 2: Convert to fraction form
    295,967.10/408,424.64 = 187,130.02/x
  3. Step 3: Cross multiply
    295,967.10x = 408,424.64 × 187,130.02
  4. Step 4: Simplify right side
    295,967.10x = 76,428,512,325.23
  5. Step 5: Solve for x
    x = 76,428,512,325.23/295,967.10
  6. Step 6: Final answer
    x = 258,233.13

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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.