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Finding the Fourth Proportional to 314,012.72, 433,328.29 and 178,059.08

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Solution

The fourth proportional to 314,012.72, 433,328.29 and 178,059.08 is: 245,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,012.72 : 433,328.29 = 178,059.08 : x
  2. Step 2: Convert to fraction form
    314,012.72/433,328.29 = 178,059.08/x
  3. Step 3: Cross multiply
    314,012.72x = 433,328.29 × 178,059.08
  4. Step 4: Simplify right side
    314,012.72x = 77,158,037,293.55
  5. Step 5: Solve for x
    x = 77,158,037,293.55/314,012.72
  6. Step 6: Final answer
    x = 245,716.28

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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.