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Finding the Fourth Proportional to 507,971.28, 700,973.44 and 290,137.18

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Solution

The fourth proportional to 507,971.28, 700,973.44 and 290,137.18 is: 400,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,971.28 : 700,973.44 = 290,137.18 : x
  2. Step 2: Convert to fraction form
    507,971.28/700,973.44 = 290,137.18/x
  3. Step 3: Cross multiply
    507,971.28x = 700,973.44 × 290,137.18
  4. Step 4: Simplify right side
    507,971.28x = 203,378,457,136.50
  5. Step 5: Solve for x
    x = 203,378,457,136.50/507,971.28
  6. Step 6: Final answer
    x = 400,373.93

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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.