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Finding the Fourth Proportional to 326,033.34, 489,051.69 and 148,416.13

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Solution

The fourth proportional to 326,033.34, 489,051.69 and 148,416.13 is: 222,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,033.34 : 489,051.69 = 148,416.13 : x
  2. Step 2: Convert to fraction form
    326,033.34/489,051.69 = 148,416.13/x
  3. Step 3: Cross multiply
    326,033.34x = 489,051.69 × 148,416.13
  4. Step 4: Simplify right side
    326,033.34x = 72,583,159,199.76
  5. Step 5: Solve for x
    x = 72,583,159,199.76/326,033.34
  6. Step 6: Final answer
    x = 222,624.96

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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.