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Finding the Fourth Proportional to 597,185.84, 824,174.52 and 446,020.40

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Solution

The fourth proportional to 597,185.84, 824,174.52 and 446,020.40 is: 615,551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,185.84 : 824,174.52 = 446,020.40 : x
  2. Step 2: Convert to fraction form
    597,185.84/824,174.52 = 446,020.40/x
  3. Step 3: Cross multiply
    597,185.84x = 824,174.52 × 446,020.40
  4. Step 4: Simplify right side
    597,185.84x = 367,598,649,080.21
  5. Step 5: Solve for x
    x = 367,598,649,080.21/597,185.84
  6. Step 6: Final answer
    x = 615,551.52

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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.