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Finding the Fourth Proportional to 328,038.99, 491,984.65 and 117,676.93

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Solution

The fourth proportional to 328,038.99, 491,984.65 and 117,676.93 is: 176,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,038.99 : 491,984.65 = 117,676.93 : x
  2. Step 2: Convert to fraction form
    328,038.99/491,984.65 = 117,676.93/x
  3. Step 3: Cross multiply
    328,038.99x = 491,984.65 × 117,676.93
  4. Step 4: Simplify right side
    328,038.99x = 57,895,243,219.12
  5. Step 5: Solve for x
    x = 57,895,243,219.12/328,038.99
  6. Step 6: Final answer
    x = 176,488.91

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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.