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Finding the Fourth Proportional to 347,176.80, 520,805.70 and 110,543.40

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Solution

The fourth proportional to 347,176.80, 520,805.70 and 110,543.40 is: 165,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,176.80 : 520,805.70 = 110,543.40 : x
  2. Step 2: Convert to fraction form
    347,176.80/520,805.70 = 110,543.40/x
  3. Step 3: Cross multiply
    347,176.80x = 520,805.70 × 110,543.40
  4. Step 4: Simplify right side
    347,176.80x = 57,571,632,817.38
  5. Step 5: Solve for x
    x = 57,571,632,817.38/347,176.80
  6. Step 6: Final answer
    x = 165,828.00

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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.