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Finding the Fourth Proportional to 430,814.70, 646,223.67 and 150,331.95

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Solution

The fourth proportional to 430,814.70, 646,223.67 and 150,331.95 is: 225,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,814.70 : 646,223.67 = 150,331.95 : x
  2. Step 2: Convert to fraction form
    430,814.70/646,223.67 = 150,331.95/x
  3. Step 3: Cross multiply
    430,814.70x = 646,223.67 × 150,331.95
  4. Step 4: Simplify right side
    430,814.70x = 97,148,064,447.26
  5. Step 5: Solve for x
    x = 97,148,064,447.26/430,814.70
  6. Step 6: Final answer
    x = 225,498.49

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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.