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Finding the Fourth Proportional to 596,903.60, 893,387.10 and 419,756.60

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Solution

The fourth proportional to 596,903.60, 893,387.10 and 419,756.60 is: 628,250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,903.60 : 893,387.10 = 419,756.60 : x
  2. Step 2: Convert to fraction form
    596,903.60/893,387.10 = 419,756.60/x
  3. Step 3: Cross multiply
    596,903.60x = 893,387.10 × 419,756.60
  4. Step 4: Simplify right side
    596,903.60x = 375,005,131,579.86
  5. Step 5: Solve for x
    x = 375,005,131,579.86/596,903.60
  6. Step 6: Final answer
    x = 628,250.75

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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.