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Finding the Fourth Proportional to 368,063.12, 507,888.36 and 204,693.21

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Solution

The fourth proportional to 368,063.12, 507,888.36 and 204,693.21 is: 282,455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,063.12 : 507,888.36 = 204,693.21 : x
  2. Step 2: Convert to fraction form
    368,063.12/507,888.36 = 204,693.21/x
  3. Step 3: Cross multiply
    368,063.12x = 507,888.36 × 204,693.21
  4. Step 4: Simplify right side
    368,063.12x = 103,961,298,730.04
  5. Step 5: Solve for x
    x = 103,961,298,730.04/368,063.12
  6. Step 6: Final answer
    x = 282,455.08

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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.