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Finding the Fourth Proportional to 380,746.16, 525,418.22 and 208,662.02

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Solution

The fourth proportional to 380,746.16, 525,418.22 and 208,662.02 is: 287,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,746.16 : 525,418.22 = 208,662.02 : x
  2. Step 2: Convert to fraction form
    380,746.16/525,418.22 = 208,662.02/x
  3. Step 3: Cross multiply
    380,746.16x = 525,418.22 × 208,662.02
  4. Step 4: Simplify right side
    380,746.16x = 109,634,827,130.00
  5. Step 5: Solve for x
    x = 109,634,827,130.00/380,746.16
  6. Step 6: Final answer
    x = 287,947.30

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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.