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Finding the Fourth Proportional to 464,920.48, 697,380.76 and 184,437.74

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Solution

The fourth proportional to 464,920.48, 697,380.76 and 184,437.74 is: 276,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,920.48 : 697,380.76 = 184,437.74 : x
  2. Step 2: Convert to fraction form
    464,920.48/697,380.76 = 184,437.74/x
  3. Step 3: Cross multiply
    464,920.48x = 697,380.76 × 184,437.74
  4. Step 4: Simplify right side
    464,920.48x = 128,623,331,293.88
  5. Step 5: Solve for x
    x = 128,623,331,293.88/464,920.48
  6. Step 6: Final answer
    x = 276,656.63

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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.