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Finding the Fourth Proportional to 314,908, 434,583.52 and 187,566.28

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Solution

The fourth proportional to 314,908, 434,583.52 and 187,566.28 is: 258,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,908 : 434,583.52 = 187,566.28 : x
  2. Step 2: Convert to fraction form
    314,908/434,583.52 = 187,566.28/x
  3. Step 3: Cross multiply
    314,908x = 434,583.52 × 187,566.28
  4. Step 4: Simplify right side
    314,908x = 81,513,214,195.71
  5. Step 5: Solve for x
    x = 81,513,214,195.71/314,908
  6. Step 6: Final answer
    x = 258,847.71

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1.5x scale

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.