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Finding the Fourth Proportional to 597,000.60, 893,532.60 and 419,853.60

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Solution

The fourth proportional to 597,000.60, 893,532.60 and 419,853.60 is: 628,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,000.60 : 893,532.60 = 419,853.60 : x
  2. Step 2: Convert to fraction form
    597,000.60/893,532.60 = 419,853.60/x
  3. Step 3: Cross multiply
    597,000.60x = 893,532.60 × 419,853.60
  4. Step 4: Simplify right side
    597,000.60x = 375,152,878,827.36
  5. Step 5: Solve for x
    x = 375,152,878,827.36/597,000.60
  6. Step 6: Final answer
    x = 628,396.15

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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.