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Finding the Fourth Proportional to 315,852.50, 473,827.94 and 189,463.03

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Solution

The fourth proportional to 315,852.50, 473,827.94 and 189,463.03 is: 284,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,852.50 : 473,827.94 = 189,463.03 : x
  2. Step 2: Convert to fraction form
    315,852.50/473,827.94 = 189,463.03/x
  3. Step 3: Cross multiply
    315,852.50x = 473,827.94 × 189,463.03
  4. Step 4: Simplify right side
    315,852.50x = 89,772,879,520.67
  5. Step 5: Solve for x
    x = 89,772,879,520.67/315,852.50
  6. Step 6: Final answer
    x = 284,224.06

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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.