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Finding the Fourth Proportional to 347,135.60, 520,703.40 and 97,817.60

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Solution

The fourth proportional to 347,135.60, 520,703.40 and 97,817.60 is: 146,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,135.60 : 520,703.40 = 97,817.60 : x
  2. Step 2: Convert to fraction form
    347,135.60/520,703.40 = 97,817.60/x
  3. Step 3: Cross multiply
    347,135.60x = 520,703.40 × 97,817.60
  4. Step 4: Simplify right side
    347,135.60x = 50,933,956,899.84
  5. Step 5: Solve for x
    x = 50,933,956,899.84/347,135.60
  6. Step 6: Final answer
    x = 146,726.40

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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.