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Finding the Fourth Proportional to 540,462.08, 745,883.70 and 314,093

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Solution

The fourth proportional to 540,462.08, 745,883.70 and 314,093 is: 433,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,462.08 : 745,883.70 = 314,093 : x
  2. Step 2: Convert to fraction form
    540,462.08/745,883.70 = 314,093/x
  3. Step 3: Cross multiply
    540,462.08x = 745,883.70 × 314,093
  4. Step 4: Simplify right side
    540,462.08x = 234,276,848,984.10
  5. Step 5: Solve for x
    x = 234,276,848,984.10/540,462.08
  6. Step 6: Final answer
    x = 433,475.09

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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.