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Finding the Fourth Proportional to 712,738.36, 983,603.43 and 390,448.38

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Solution

The fourth proportional to 712,738.36, 983,603.43 and 390,448.38 is: 538,832.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,738.36 : 983,603.43 = 390,448.38 : x
  2. Step 2: Convert to fraction form
    712,738.36/983,603.43 = 390,448.38/x
  3. Step 3: Cross multiply
    712,738.36x = 983,603.43 × 390,448.38
  4. Step 4: Simplify right side
    712,738.36x = 384,046,365,805.94
  5. Step 5: Solve for x
    x = 384,046,365,805.94/712,738.36
  6. Step 6: Final answer
    x = 538,832.18

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Why These Related Problems?

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