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Finding the Fourth Proportional to 596,993.34, 823,809.25 and 338,875.50

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Solution

The fourth proportional to 596,993.34, 823,809.25 and 338,875.50 is: 467,624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,993.34 : 823,809.25 = 338,875.50 : x
  2. Step 2: Convert to fraction form
    596,993.34/823,809.25 = 338,875.50/x
  3. Step 3: Cross multiply
    596,993.34x = 823,809.25 × 338,875.50
  4. Step 4: Simplify right side
    596,993.34x = 279,168,771,498.38
  5. Step 5: Solve for x
    x = 279,168,771,498.38/596,993.34
  6. Step 6: Final answer
    x = 467,624.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.