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Finding the Fourth Proportional to 470,980.53, 649,933.32 and 267,045.21

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Solution

The fourth proportional to 470,980.53, 649,933.32 and 267,045.21 is: 368,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,980.53 : 649,933.32 = 267,045.21 : x
  2. Step 2: Convert to fraction form
    470,980.53/649,933.32 = 267,045.21/x
  3. Step 3: Cross multiply
    470,980.53x = 649,933.32 × 267,045.21
  4. Step 4: Simplify right side
    470,980.53x = 173,561,579,925.40
  5. Step 5: Solve for x
    x = 173,561,579,925.40/470,980.53
  6. Step 6: Final answer
    x = 368,511.16

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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.