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Finding the Fourth Proportional to 314,036.28, 433,360.80 and 178,082.64

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Solution

The fourth proportional to 314,036.28, 433,360.80 and 178,082.64 is: 245,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,036.28 : 433,360.80 = 178,082.64 : x
  2. Step 2: Convert to fraction form
    314,036.28/433,360.80 = 178,082.64/x
  3. Step 3: Cross multiply
    314,036.28x = 433,360.80 × 178,082.64
  4. Step 4: Simplify right side
    314,036.28x = 77,174,035,336.51
  5. Step 5: Solve for x
    x = 77,174,035,336.51/314,036.28
  6. Step 6: Final answer
    x = 245,748.79

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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.