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Finding the Fourth Proportional to 413,461.44, 570,639.24 and 252,410.40

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Solution

The fourth proportional to 413,461.44, 570,639.24 and 252,410.40 is: 348,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,461.44 : 570,639.24 = 252,410.40 : x
  2. Step 2: Convert to fraction form
    413,461.44/570,639.24 = 252,410.40/x
  3. Step 3: Cross multiply
    413,461.44x = 570,639.24 × 252,410.40
  4. Step 4: Simplify right side
    413,461.44x = 144,035,278,824.10
  5. Step 5: Solve for x
    x = 144,035,278,824.10/413,461.44
  6. Step 6: Final answer
    x = 348,364.48

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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.