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Finding the Fourth Proportional to 314,463.60, 433,994.40 and 193,580.64

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Solution

The fourth proportional to 314,463.60, 433,994.40 and 193,580.64 is: 267,162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,463.60 : 433,994.40 = 193,580.64 : x
  2. Step 2: Convert to fraction form
    314,463.60/433,994.40 = 193,580.64/x
  3. Step 3: Cross multiply
    314,463.60x = 433,994.40 × 193,580.64
  4. Step 4: Simplify right side
    314,463.60x = 84,012,913,708.42
  5. Step 5: Solve for x
    x = 84,012,913,708.42/314,463.60
  6. Step 6: Final answer
    x = 267,162.60

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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.