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Finding the Fourth Proportional to 410,817.60, 616,226.40 and 376,603.20

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Solution

The fourth proportional to 410,817.60, 616,226.40 and 376,603.20 is: 564,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,817.60 : 616,226.40 = 376,603.20 : x
  2. Step 2: Convert to fraction form
    410,817.60/616,226.40 = 376,603.20/x
  3. Step 3: Cross multiply
    410,817.60x = 616,226.40 × 376,603.20
  4. Step 4: Simplify right side
    410,817.60x = 232,072,834,164.48
  5. Step 5: Solve for x
    x = 232,072,834,164.48/410,817.60
  6. Step 6: Final answer
    x = 564,904.80

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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.