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Finding the Fourth Proportional to 411,564.16, 620,430.99 and 384,131

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Solution

The fourth proportional to 411,564.16, 620,430.99 and 384,131 is: 579,075.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,564.16 : 620,430.99 = 384,131 : x
  2. Step 2: Convert to fraction form
    411,564.16/620,430.99 = 384,131/x
  3. Step 3: Cross multiply
    411,564.16x = 620,430.99 × 384,131
  4. Step 4: Simplify right side
    411,564.16x = 238,326,776,619.69
  5. Step 5: Solve for x
    x = 238,326,776,619.69/411,564.16
  6. Step 6: Final answer
    x = 579,075.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.