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Finding the Fourth Proportional to 596,963.60, 893,477.10 and 419,816.60

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Solution

The fourth proportional to 596,963.60, 893,477.10 and 419,816.60 is: 628,340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,963.60 : 893,477.10 = 419,816.60 : x
  2. Step 2: Convert to fraction form
    596,963.60/893,477.10 = 419,816.60/x
  3. Step 3: Cross multiply
    596,963.60x = 893,477.10 × 419,816.60
  4. Step 4: Simplify right side
    596,963.60x = 375,096,518,299.86
  5. Step 5: Solve for x
    x = 375,096,518,299.86/596,963.60
  6. Step 6: Final answer
    x = 628,340.69

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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.