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Finding the Fourth Proportional to 314,258.59, 433,686.69 and 178,298.27

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Solution

The fourth proportional to 314,258.59, 433,686.69 and 178,298.27 is: 246,057.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,258.59 : 433,686.69 = 178,298.27 : x
  2. Step 2: Convert to fraction form
    314,258.59/433,686.69 = 178,298.27/x
  3. Step 3: Cross multiply
    314,258.59x = 433,686.69 × 178,298.27
  4. Step 4: Simplify right side
    314,258.59x = 77,325,586,549.03
  5. Step 5: Solve for x
    x = 77,325,586,549.03/314,258.59
  6. Step 6: Final answer
    x = 246,057.19

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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.