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Finding the Fourth Proportional to 632,038.32, 947,614.81 and 232,627.32

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Solution

The fourth proportional to 632,038.32, 947,614.81 and 232,627.32 is: 348,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,038.32 : 947,614.81 = 232,627.32 : x
  2. Step 2: Convert to fraction form
    632,038.32/947,614.81 = 232,627.32/x
  3. Step 3: Cross multiply
    632,038.32x = 947,614.81 × 232,627.32
  4. Step 4: Simplify right side
    632,038.32x = 220,441,093,642.61
  5. Step 5: Solve for x
    x = 220,441,093,642.61/632,038.32
  6. Step 6: Final answer
    x = 348,778.05

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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.