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Finding the Fourth Proportional to 315,951.58, 473,927.40 and 105,589.51

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Solution

The fourth proportional to 315,951.58, 473,927.40 and 105,589.51 is: 158,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,951.58 : 473,927.40 = 105,589.51 : x
  2. Step 2: Convert to fraction form
    315,951.58/473,927.40 = 105,589.51/x
  3. Step 3: Cross multiply
    315,951.58x = 473,927.40 × 105,589.51
  4. Step 4: Simplify right side
    315,951.58x = 50,041,761,941.57
  5. Step 5: Solve for x
    x = 50,041,761,941.57/315,951.58
  6. Step 6: Final answer
    x = 158,384.28

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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.