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Finding the Fourth Proportional to 489,054.96, 733,688.01 and 152,089.02

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Solution

The fourth proportional to 489,054.96, 733,688.01 and 152,089.02 is: 228,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,054.96 : 733,688.01 = 152,089.02 : x
  2. Step 2: Convert to fraction form
    489,054.96/733,688.01 = 152,089.02/x
  3. Step 3: Cross multiply
    489,054.96x = 733,688.01 × 152,089.02
  4. Step 4: Simplify right side
    489,054.96x = 111,585,890,426.65
  5. Step 5: Solve for x
    x = 111,585,890,426.65/489,054.96
  6. Step 6: Final answer
    x = 228,166.36

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Why These Related Problems?

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