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Finding the Fourth Proportional to 455,894.40, 683,841.60 and 403,406.40

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Solution

The fourth proportional to 455,894.40, 683,841.60 and 403,406.40 is: 605,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,894.40 : 683,841.60 = 403,406.40 : x
  2. Step 2: Convert to fraction form
    455,894.40/683,841.60 = 403,406.40/x
  3. Step 3: Cross multiply
    455,894.40x = 683,841.60 × 403,406.40
  4. Step 4: Simplify right side
    455,894.40x = 275,866,078,026.24
  5. Step 5: Solve for x
    x = 275,866,078,026.24/455,894.40
  6. Step 6: Final answer
    x = 605,109.60

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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.