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Finding the Fourth Proportional to 369,953.72, 510,478.38 and 210,947

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Solution

The fourth proportional to 369,953.72, 510,478.38 and 210,947 is: 291,073.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,953.72 : 510,478.38 = 210,947 : x
  2. Step 2: Convert to fraction form
    369,953.72/510,478.38 = 210,947/x
  3. Step 3: Cross multiply
    369,953.72x = 510,478.38 × 210,947
  4. Step 4: Simplify right side
    369,953.72x = 107,683,882,825.86
  5. Step 5: Solve for x
    x = 107,683,882,825.86/369,953.72
  6. Step 6: Final answer
    x = 291,073.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.