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Finding the Fourth Proportional to 333,841.92, 500,412.96 and 123,345.60

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Solution

The fourth proportional to 333,841.92, 500,412.96 and 123,345.60 is: 184,889.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,841.92 : 500,412.96 = 123,345.60 : x
  2. Step 2: Convert to fraction form
    333,841.92/500,412.96 = 123,345.60/x
  3. Step 3: Cross multiply
    333,841.92x = 500,412.96 × 123,345.60
  4. Step 4: Simplify right side
    333,841.92x = 61,723,736,798.98
  5. Step 5: Solve for x
    x = 61,723,736,798.98/333,841.92
  6. Step 6: Final answer
    x = 184,889.11

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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.