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Finding the Fourth Proportional to 314,657.14, 434,224.71 and 171,417.28

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Solution

The fourth proportional to 314,657.14, 434,224.71 and 171,417.28 is: 236,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,657.14 : 434,224.71 = 171,417.28 : x
  2. Step 2: Convert to fraction form
    314,657.14/434,224.71 = 171,417.28/x
  3. Step 3: Cross multiply
    314,657.14x = 434,224.71 × 171,417.28
  4. Step 4: Simplify right side
    314,657.14x = 74,433,618,696.99
  5. Step 5: Solve for x
    x = 74,433,618,696.99/314,657.14
  6. Step 6: Final answer
    x = 236,554.68

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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.