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Finding the Fourth Proportional to 501,645, 692,270.10 and 275,290.50

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Solution

The fourth proportional to 501,645, 692,270.10 and 275,290.50 is: 379,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,645 : 692,270.10 = 275,290.50 : x
  2. Step 2: Convert to fraction form
    501,645/692,270.10 = 275,290.50/x
  3. Step 3: Cross multiply
    501,645x = 692,270.10 × 275,290.50
  4. Step 4: Simplify right side
    501,645x = 190,575,381,964.05
  5. Step 5: Solve for x
    x = 190,575,381,964.05/501,645
  6. Step 6: Final answer
    x = 379,900.89

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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.