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Finding the Fourth Proportional to 464,967.10, 697,277.85 and 184,426.30

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Solution

The fourth proportional to 464,967.10, 697,277.85 and 184,426.30 is: 276,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,967.10 : 697,277.85 = 184,426.30 : x
  2. Step 2: Convert to fraction form
    464,967.10/697,277.85 = 184,426.30/x
  3. Step 3: Cross multiply
    464,967.10x = 697,277.85 × 184,426.30
  4. Step 4: Simplify right side
    464,967.10x = 128,596,373,947.46
  5. Step 5: Solve for x
    x = 128,596,373,947.46/464,967.10
  6. Step 6: Final answer
    x = 276,570.91

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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.