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Finding the Fourth Proportional to 464,054.58, 640,167.57 and 302,835.06

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Solution

The fourth proportional to 464,054.58, 640,167.57 and 302,835.06 is: 417,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,054.58 : 640,167.57 = 302,835.06 : x
  2. Step 2: Convert to fraction form
    464,054.58/640,167.57 = 302,835.06/x
  3. Step 3: Cross multiply
    464,054.58x = 640,167.57 × 302,835.06
  4. Step 4: Simplify right side
    464,054.58x = 193,865,184,471.00
  5. Step 5: Solve for x
    x = 193,865,184,471.00/464,054.58
  6. Step 6: Final answer
    x = 417,763.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.