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Finding the Fourth Proportional to 314,258.56, 433,686.65 and 178,298.24

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Solution

The fourth proportional to 314,258.56, 433,686.65 and 178,298.24 is: 246,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,258.56 : 433,686.65 = 178,298.24 : x
  2. Step 2: Convert to fraction form
    314,258.56/433,686.65 = 178,298.24/x
  3. Step 3: Cross multiply
    314,258.56x = 433,686.65 × 178,298.24
  4. Step 4: Simplify right side
    314,258.56x = 77,325,566,406.50
  5. Step 5: Solve for x
    x = 77,325,566,406.50/314,258.56
  6. Step 6: Final answer
    x = 246,057.15

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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.