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Finding the Fourth Proportional to 501,716.50, 692,368.77 and 275,376.58

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Solution

The fourth proportional to 501,716.50, 692,368.77 and 275,376.58 is: 380,019.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,716.50 : 692,368.77 = 275,376.58 : x
  2. Step 2: Convert to fraction form
    501,716.50/692,368.77 = 275,376.58/x
  3. Step 3: Cross multiply
    501,716.50x = 692,368.77 × 275,376.58
  4. Step 4: Simplify right side
    501,716.50x = 190,662,143,981.41
  5. Step 5: Solve for x
    x = 190,662,143,981.41/501,716.50
  6. Step 6: Final answer
    x = 380,019.68

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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.