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Finding the Fourth Proportional to 511,015.58, 705,045.40 and 296,114.12

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Solution

The fourth proportional to 511,015.58, 705,045.40 and 296,114.12 is: 408,547.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,015.58 : 705,045.40 = 296,114.12 : x
  2. Step 2: Convert to fraction form
    511,015.58/705,045.40 = 296,114.12/x
  3. Step 3: Cross multiply
    511,015.58x = 705,045.40 × 296,114.12
  4. Step 4: Simplify right side
    511,015.58x = 208,773,898,181.05
  5. Step 5: Solve for x
    x = 208,773,898,181.05/511,015.58
  6. Step 6: Final answer
    x = 408,547.03

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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.