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Finding the Fourth Proportional to 540,461.08, 745,882.32 and 314,092

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Solution

The fourth proportional to 540,461.08, 745,882.32 and 314,092 is: 433,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,461.08 : 745,882.32 = 314,092 : x
  2. Step 2: Convert to fraction form
    540,461.08/745,882.32 = 314,092/x
  3. Step 3: Cross multiply
    540,461.08x = 745,882.32 × 314,092
  4. Step 4: Simplify right side
    540,461.08x = 234,275,669,653.44
  5. Step 5: Solve for x
    x = 234,275,669,653.44/540,461.08
  6. Step 6: Final answer
    x = 433,473.71

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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.