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Finding the Fourth Proportional to 306,862.14, 423,461.17 and 170,896.05

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Solution

The fourth proportional to 306,862.14, 423,461.17 and 170,896.05 is: 235,831.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,862.14 : 423,461.17 = 170,896.05 : x
  2. Step 2: Convert to fraction form
    306,862.14/423,461.17 = 170,896.05/x
  3. Step 3: Cross multiply
    306,862.14x = 423,461.17 × 170,896.05
  4. Step 4: Simplify right side
    306,862.14x = 72,367,841,281.38
  5. Step 5: Solve for x
    x = 72,367,841,281.38/306,862.14
  6. Step 6: Final answer
    x = 235,831.77

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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.