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Finding the Fourth Proportional to 405,580.72, 608,456.74 and 152,855.86

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Solution

The fourth proportional to 405,580.72, 608,456.74 and 152,855.86 is: 229,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,580.72 : 608,456.74 = 152,855.86 : x
  2. Step 2: Convert to fraction form
    405,580.72/608,456.74 = 152,855.86/x
  3. Step 3: Cross multiply
    405,580.72x = 608,456.74 × 152,855.86
  4. Step 4: Simplify right side
    405,580.72x = 93,006,178,265.50
  5. Step 5: Solve for x
    x = 93,006,178,265.50/405,580.72
  6. Step 6: Final answer
    x = 229,316.07

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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.