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Finding the Fourth Proportional to 309,235.89, 463,457.44 and 269,088.04

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Solution

The fourth proportional to 309,235.89, 463,457.44 and 269,088.04 is: 403,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,235.89 : 463,457.44 = 269,088.04 : x
  2. Step 2: Convert to fraction form
    309,235.89/463,457.44 = 269,088.04/x
  3. Step 3: Cross multiply
    309,235.89x = 463,457.44 × 269,088.04
  4. Step 4: Simplify right side
    309,235.89x = 124,710,850,490.29
  5. Step 5: Solve for x
    x = 124,710,850,490.29/309,235.89
  6. Step 6: Final answer
    x = 403,287.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.