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Finding the Fourth Proportional to 346,030.56, 477,558.72 and 202,796.64

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Solution

The fourth proportional to 346,030.56, 477,558.72 and 202,796.64 is: 279,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,030.56 : 477,558.72 = 202,796.64 : x
  2. Step 2: Convert to fraction form
    346,030.56/477,558.72 = 202,796.64/x
  3. Step 3: Cross multiply
    346,030.56x = 477,558.72 × 202,796.64
  4. Step 4: Simplify right side
    346,030.56x = 96,847,303,818.70
  5. Step 5: Solve for x
    x = 96,847,303,818.70/346,030.56
  6. Step 6: Final answer
    x = 279,880.78

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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.