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Finding the Fourth Proportional to 403,030.32, 556,181.82 and 221,738.40

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Solution

The fourth proportional to 403,030.32, 556,181.82 and 221,738.40 is: 305,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,030.32 : 556,181.82 = 221,738.40 : x
  2. Step 2: Convert to fraction form
    403,030.32/556,181.82 = 221,738.40/x
  3. Step 3: Cross multiply
    403,030.32x = 556,181.82 × 221,738.40
  4. Step 4: Simplify right side
    403,030.32x = 123,326,866,875.89
  5. Step 5: Solve for x
    x = 123,326,866,875.89/403,030.32
  6. Step 6: Final answer
    x = 305,998.98

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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.