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Finding the Fourth Proportional to 749,933, 1,124,903.50 and 306,701

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Solution

The fourth proportional to 749,933, 1,124,903.50 and 306,701 is: 460,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,933 : 1,124,903.50 = 306,701 : x
  2. Step 2: Convert to fraction form
    749,933/1,124,903.50 = 306,701/x
  3. Step 3: Cross multiply
    749,933x = 1,124,903.50 × 306,701
  4. Step 4: Simplify right side
    749,933x = 345,009,028,353.50
  5. Step 5: Solve for x
    x = 345,009,028,353.50/749,933
  6. Step 6: Final answer
    x = 460,053.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.