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Finding the Fourth Proportional to 314,707.10, 434,300.76 and 171,467.08

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Solution

The fourth proportional to 314,707.10, 434,300.76 and 171,467.08 is: 236,627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,707.10 : 434,300.76 = 171,467.08 : x
  2. Step 2: Convert to fraction form
    314,707.10/434,300.76 = 171,467.08/x
  3. Step 3: Cross multiply
    314,707.10x = 434,300.76 × 171,467.08
  4. Step 4: Simplify right side
    314,707.10x = 74,468,283,158.98
  5. Step 5: Solve for x
    x = 74,468,283,158.98/314,707.10
  6. Step 6: Final answer
    x = 236,627.27

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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.