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Finding the Fourth Proportional to 540,463.08, 745,885.08 and 314,094

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Solution

The fourth proportional to 540,463.08, 745,885.08 and 314,094 is: 433,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,463.08 : 745,885.08 = 314,094 : x
  2. Step 2: Convert to fraction form
    540,463.08/745,885.08 = 314,094/x
  3. Step 3: Cross multiply
    540,463.08x = 745,885.08 × 314,094
  4. Step 4: Simplify right side
    540,463.08x = 234,278,028,317.52
  5. Step 5: Solve for x
    x = 234,278,028,317.52/540,463.08
  6. Step 6: Final answer
    x = 433,476.47

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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.