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Finding the Fourth Proportional to 413,484.94, 570,671.67 and 252,433.90

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Solution

The fourth proportional to 413,484.94, 570,671.67 and 252,433.90 is: 348,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,484.94 : 570,671.67 = 252,433.90 : x
  2. Step 2: Convert to fraction form
    413,484.94/570,671.67 = 252,433.90/x
  3. Step 3: Cross multiply
    413,484.94x = 570,671.67 × 252,433.90
  4. Step 4: Simplify right side
    413,484.94x = 144,056,875,277.61
  5. Step 5: Solve for x
    x = 144,056,875,277.61/413,484.94
  6. Step 6: Final answer
    x = 348,396.91

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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.