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Finding the Fourth Proportional to 314,303.49, 433,738.82 and 171,064.57

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Solution

The fourth proportional to 314,303.49, 433,738.82 and 171,064.57 is: 236,069.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,303.49 : 433,738.82 = 171,064.57 : x
  2. Step 2: Convert to fraction form
    314,303.49/433,738.82 = 171,064.57/x
  3. Step 3: Cross multiply
    314,303.49x = 433,738.82 × 171,064.57
  4. Step 4: Simplify right side
    314,303.49x = 74,197,343,880.28
  5. Step 5: Solve for x
    x = 74,197,343,880.28/314,303.49
  6. Step 6: Final answer
    x = 236,069.11

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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.