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Finding the Fourth Proportional to 413,347.84, 570,426.24 and 399,044.80

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Solution

The fourth proportional to 413,347.84, 570,426.24 and 399,044.80 is: 550,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,347.84 : 570,426.24 = 399,044.80 : x
  2. Step 2: Convert to fraction form
    413,347.84/570,426.24 = 399,044.80/x
  3. Step 3: Cross multiply
    413,347.84x = 570,426.24 × 399,044.80
  4. Step 4: Simplify right side
    413,347.84x = 227,625,624,855.55
  5. Step 5: Solve for x
    x = 227,625,624,855.55/413,347.84
  6. Step 6: Final answer
    x = 550,687.83

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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.