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Finding the Fourth Proportional to 553,619.40, 763,994.77 and 298,970.57

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Solution

The fourth proportional to 553,619.40, 763,994.77 and 298,970.57 is: 412,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,619.40 : 763,994.77 = 298,970.57 : x
  2. Step 2: Convert to fraction form
    553,619.40/763,994.77 = 298,970.57/x
  3. Step 3: Cross multiply
    553,619.40x = 763,994.77 × 298,970.57
  4. Step 4: Simplify right side
    553,619.40x = 228,411,947,296.52
  5. Step 5: Solve for x
    x = 228,411,947,296.52/553,619.40
  6. Step 6: Final answer
    x = 412,579.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.