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Finding the Fourth Proportional to 417,158.28, 575,689.76 and 235,897.33

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Solution

The fourth proportional to 417,158.28, 575,689.76 and 235,897.33 is: 325,544.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,158.28 : 575,689.76 = 235,897.33 : x
  2. Step 2: Convert to fraction form
    417,158.28/575,689.76 = 235,897.33/x
  3. Step 3: Cross multiply
    417,158.28x = 575,689.76 × 235,897.33
  4. Step 4: Simplify right side
    417,158.28x = 135,803,673,234.41
  5. Step 5: Solve for x
    x = 135,803,673,234.41/417,158.28
  6. Step 6: Final answer
    x = 325,544.72

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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.