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Finding the Fourth Proportional to 379,864.18, 569,830.59 and 109,988.38

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Solution

The fourth proportional to 379,864.18, 569,830.59 and 109,988.38 is: 164,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,864.18 : 569,830.59 = 109,988.38 : x
  2. Step 2: Convert to fraction form
    379,864.18/569,830.59 = 109,988.38/x
  3. Step 3: Cross multiply
    379,864.18x = 569,830.59 × 109,988.38
  4. Step 4: Simplify right side
    379,864.18x = 62,674,740,069.45
  5. Step 5: Solve for x
    x = 62,674,740,069.45/379,864.18
  6. Step 6: Final answer
    x = 164,992.50

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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.