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Finding the Fourth Proportional to 464,940.41, 697,410.62 and 184,457.66

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Solution

The fourth proportional to 464,940.41, 697,410.62 and 184,457.66 is: 276,686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,940.41 : 697,410.62 = 184,457.66 : x
  2. Step 2: Convert to fraction form
    464,940.41/697,410.62 = 184,457.66/x
  3. Step 3: Cross multiply
    464,940.41x = 697,410.62 × 184,457.66
  4. Step 4: Simplify right side
    464,940.41x = 128,642,730,102.06
  5. Step 5: Solve for x
    x = 128,642,730,102.06/464,940.41
  6. Step 6: Final answer
    x = 276,686.49

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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.