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Finding the Fourth Proportional to 315,951.72, 473,927.58 and 105,589.67

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Solution

The fourth proportional to 315,951.72, 473,927.58 and 105,589.67 is: 158,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,951.72 : 473,927.58 = 105,589.67 : x
  2. Step 2: Convert to fraction form
    315,951.72/473,927.58 = 105,589.67/x
  3. Step 3: Cross multiply
    315,951.72x = 473,927.58 × 105,589.67
  4. Step 4: Simplify right side
    315,951.72x = 50,041,854,406.46
  5. Step 5: Solve for x
    x = 50,041,854,406.46/315,951.72
  6. Step 6: Final answer
    x = 158,384.50

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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.