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Finding the Fourth Proportional to 328,051.20, 492,076.80 and 117,661.80

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Solution

The fourth proportional to 328,051.20, 492,076.80 and 117,661.80 is: 176,492.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,051.20 : 492,076.80 = 117,661.80 : x
  2. Step 2: Convert to fraction form
    328,051.20/492,076.80 = 117,661.80/x
  3. Step 3: Cross multiply
    328,051.20x = 492,076.80 × 117,661.80
  4. Step 4: Simplify right side
    328,051.20x = 57,898,642,026.24
  5. Step 5: Solve for x
    x = 57,898,642,026.24/328,051.20
  6. Step 6: Final answer
    x = 176,492.70

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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.