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Finding the Fourth Proportional to 337,462, 465,707.28 and 186,568.72

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Solution

The fourth proportional to 337,462, 465,707.28 and 186,568.72 is: 257,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,462 : 465,707.28 = 186,568.72 : x
  2. Step 2: Convert to fraction form
    337,462/465,707.28 = 186,568.72/x
  3. Step 3: Cross multiply
    337,462x = 465,707.28 × 186,568.72
  4. Step 4: Simplify right side
    337,462x = 86,886,411,124.28
  5. Step 5: Solve for x
    x = 86,886,411,124.28/337,462
  6. Step 6: Final answer
    x = 257,470.21

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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.