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Finding the Fourth Proportional to 413,430.96, 570,623.58 and 252,251.40

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Solution

The fourth proportional to 413,430.96, 570,623.58 and 252,251.40 is: 348,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,430.96 : 570,623.58 = 252,251.40 : x
  2. Step 2: Convert to fraction form
    413,430.96/570,623.58 = 252,251.40/x
  3. Step 3: Cross multiply
    413,430.96x = 570,623.58 × 252,251.40
  4. Step 4: Simplify right side
    413,430.96x = 143,940,596,928.01
  5. Step 5: Solve for x
    x = 143,940,596,928.01/413,430.96
  6. Step 6: Final answer
    x = 348,161.15

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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.