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Finding the Fourth Proportional to 464,911.76, 697,263.96 and 184,353.68

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Solution

The fourth proportional to 464,911.76, 697,263.96 and 184,353.68 is: 276,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,911.76 : 697,263.96 = 184,353.68 : x
  2. Step 2: Convert to fraction form
    464,911.76/697,263.96 = 184,353.68/x
  3. Step 3: Cross multiply
    464,911.76x = 697,263.96 × 184,353.68
  4. Step 4: Simplify right side
    464,911.76x = 128,543,176,957.37
  5. Step 5: Solve for x
    x = 128,543,176,957.37/464,911.76
  6. Step 6: Final answer
    x = 276,489.41

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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.