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Finding the Fourth Proportional to 457,869.60, 684,860.40 and 410,824.80

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Solution

The fourth proportional to 457,869.60, 684,860.40 and 410,824.80 is: 614,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,869.60 : 684,860.40 = 410,824.80 : x
  2. Step 2: Convert to fraction form
    457,869.60/684,860.40 = 410,824.80/x
  3. Step 3: Cross multiply
    457,869.60x = 684,860.40 × 410,824.80
  4. Step 4: Simplify right side
    457,869.60x = 281,357,636,857.92
  5. Step 5: Solve for x
    x = 281,357,636,857.92/457,869.60
  6. Step 6: Final answer
    x = 614,492.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.