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Finding the Fourth Proportional to 296,421.40, 444,923.70 and 146,830.60

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Solution

The fourth proportional to 296,421.40, 444,923.70 and 146,830.60 is: 220,390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,421.40 : 444,923.70 = 146,830.60 : x
  2. Step 2: Convert to fraction form
    296,421.40/444,923.70 = 146,830.60/x
  3. Step 3: Cross multiply
    296,421.40x = 444,923.70 × 146,830.60
  4. Step 4: Simplify right side
    296,421.40x = 65,328,413,825.22
  5. Step 5: Solve for x
    x = 65,328,413,825.22/296,421.40
  6. Step 6: Final answer
    x = 220,390.34

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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.