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Finding the Fourth Proportional to 413,490.41, 570,678.47 and 252,438.82

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Solution

The fourth proportional to 413,490.41, 570,678.47 and 252,438.82 is: 348,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,490.41 : 570,678.47 = 252,438.82 : x
  2. Step 2: Convert to fraction form
    413,490.41/570,678.47 = 252,438.82/x
  3. Step 3: Cross multiply
    413,490.41x = 570,678.47 × 252,438.82
  4. Step 4: Simplify right side
    413,490.41x = 144,061,398,770.61
  5. Step 5: Solve for x
    x = 144,061,398,770.61/413,490.41
  6. Step 6: Final answer
    x = 348,403.24

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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.