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Finding the Fourth Proportional to 338,363.52, 507,501.54 and 160,983.24

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Solution

The fourth proportional to 338,363.52, 507,501.54 and 160,983.24 is: 241,454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,363.52 : 507,501.54 = 160,983.24 : x
  2. Step 2: Convert to fraction form
    338,363.52/507,501.54 = 160,983.24/x
  3. Step 3: Cross multiply
    338,363.52x = 507,501.54 × 160,983.24
  4. Step 4: Simplify right side
    338,363.52x = 81,699,242,214.19
  5. Step 5: Solve for x
    x = 81,699,242,214.19/338,363.52
  6. Step 6: Final answer
    x = 241,454.05

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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.