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Finding the Fourth Proportional to 632,670.26, 947,813.47 and 312,447.29

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Solution

The fourth proportional to 632,670.26, 947,813.47 and 312,447.29 is: 468,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,670.26 : 947,813.47 = 312,447.29 : x
  2. Step 2: Convert to fraction form
    632,670.26/947,813.47 = 312,447.29/x
  3. Step 3: Cross multiply
    632,670.26x = 947,813.47 × 312,447.29
  4. Step 4: Simplify right side
    632,670.26x = 296,141,744,606.81
  5. Step 5: Solve for x
    x = 296,141,744,606.81/632,670.26
  6. Step 6: Final answer
    x = 468,082.29

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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.