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Finding the Fourth Proportional to 501,230, 691,697.40 and 274,875.50

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Solution

The fourth proportional to 501,230, 691,697.40 and 274,875.50 is: 379,328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,230 : 691,697.40 = 274,875.50 : x
  2. Step 2: Convert to fraction form
    501,230/691,697.40 = 274,875.50/x
  3. Step 3: Cross multiply
    501,230x = 691,697.40 × 274,875.50
  4. Step 4: Simplify right side
    501,230x = 190,130,668,673.70
  5. Step 5: Solve for x
    x = 190,130,668,673.70/501,230
  6. Step 6: Final answer
    x = 379,328.19

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