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Finding the Fourth Proportional to 413,480.42, 570,664.74 and 252,428.97

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Solution

The fourth proportional to 413,480.42, 570,664.74 and 252,428.97 is: 348,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,480.42 : 570,664.74 = 252,428.97 : x
  2. Step 2: Convert to fraction form
    413,480.42/570,664.74 = 252,428.97/x
  3. Step 3: Cross multiply
    413,480.42x = 570,664.74 × 252,428.97
  4. Step 4: Simplify right side
    413,480.42x = 144,052,312,533.52
  5. Step 5: Solve for x
    x = 144,052,312,533.52/413,480.42
  6. Step 6: Final answer
    x = 348,389.69

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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.