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Finding the Fourth Proportional to 328,710.96, 493,070.16 and 115,483.92

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Solution

The fourth proportional to 328,710.96, 493,070.16 and 115,483.92 is: 173,227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,710.96 : 493,070.16 = 115,483.92 : x
  2. Step 2: Convert to fraction form
    328,710.96/493,070.16 = 115,483.92/x
  3. Step 3: Cross multiply
    328,710.96x = 493,070.16 × 115,483.92
  4. Step 4: Simplify right side
    328,710.96x = 56,941,674,911.83
  5. Step 5: Solve for x
    x = 56,941,674,911.83/328,710.96
  6. Step 6: Final answer
    x = 173,227.19

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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.