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Finding the Fourth Proportional to 378,298.16, 522,055.06 and 208,538.36

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Solution

The fourth proportional to 378,298.16, 522,055.06 and 208,538.36 is: 287,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,298.16 : 522,055.06 = 208,538.36 : x
  2. Step 2: Convert to fraction form
    378,298.16/522,055.06 = 208,538.36/x
  3. Step 3: Cross multiply
    378,298.16x = 522,055.06 × 208,538.36
  4. Step 4: Simplify right side
    378,298.16x = 108,868,506,042.10
  5. Step 5: Solve for x
    x = 108,868,506,042.10/378,298.16
  6. Step 6: Final answer
    x = 287,784.92

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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.