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Finding the Fourth Proportional to 972,062.34, 1,458,093.51 and 307,162.50

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Solution

The fourth proportional to 972,062.34, 1,458,093.51 and 307,162.50 is: 460,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,062.34 : 1,458,093.51 = 307,162.50 : x
  2. Step 2: Convert to fraction form
    972,062.34/1,458,093.51 = 307,162.50/x
  3. Step 3: Cross multiply
    972,062.34x = 1,458,093.51 × 307,162.50
  4. Step 4: Simplify right side
    972,062.34x = 447,871,647,765.38
  5. Step 5: Solve for x
    x = 447,871,647,765.38/972,062.34
  6. Step 6: Final answer
    x = 460,743.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.