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Finding the Fourth Proportional to 210,312, 315,470.16 and 62,568

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Solution

The fourth proportional to 210,312, 315,470.16 and 62,568 is: 93,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,312 : 315,470.16 = 62,568 : x
  2. Step 2: Convert to fraction form
    210,312/315,470.16 = 62,568/x
  3. Step 3: Cross multiply
    210,312x = 315,470.16 × 62,568
  4. Step 4: Simplify right side
    210,312x = 19,738,336,970.88
  5. Step 5: Solve for x
    x = 19,738,336,970.88/210,312
  6. Step 6: Final answer
    x = 93,852.64

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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.