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Finding the Fourth Proportional to 403,938.98, 557,403 and 234,184.04

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Solution

The fourth proportional to 403,938.98, 557,403 and 234,184.04 is: 323,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,938.98 : 557,403 = 234,184.04 : x
  2. Step 2: Convert to fraction form
    403,938.98/557,403 = 234,184.04/x
  3. Step 3: Cross multiply
    403,938.98x = 557,403 × 234,184.04
  4. Step 4: Simplify right side
    403,938.98x = 130,534,886,448.12
  5. Step 5: Solve for x
    x = 130,534,886,448.12/403,938.98
  6. Step 6: Final answer
    x = 323,154.96

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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.