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Finding the Fourth Proportional to 472,180.22, 708,408.50 and 152,325.93

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Solution

The fourth proportional to 472,180.22, 708,408.50 and 152,325.93 is: 228,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,180.22 : 708,408.50 = 152,325.93 : x
  2. Step 2: Convert to fraction form
    472,180.22/708,408.50 = 152,325.93/x
  3. Step 3: Cross multiply
    472,180.22x = 708,408.50 × 152,325.93
  4. Step 4: Simplify right side
    472,180.22x = 107,908,982,820.78
  5. Step 5: Solve for x
    x = 107,908,982,820.78/472,180.22
  6. Step 6: Final answer
    x = 228,533.47

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