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Finding the Fourth Proportional to 298,985.08, 448,479.24 and 77,369.08

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Solution

The fourth proportional to 298,985.08, 448,479.24 and 77,369.08 is: 116,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,985.08 : 448,479.24 = 77,369.08 : x
  2. Step 2: Convert to fraction form
    298,985.08/448,479.24 = 77,369.08/x
  3. Step 3: Cross multiply
    298,985.08x = 448,479.24 × 77,369.08
  4. Step 4: Simplify right side
    298,985.08x = 34,698,426,197.90
  5. Step 5: Solve for x
    x = 34,698,426,197.90/298,985.08
  6. Step 6: Final answer
    x = 116,054.04

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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.