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Finding the Fourth Proportional to 978,170.60, 1,467,328.80 and 347,002.40

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Solution

The fourth proportional to 978,170.60, 1,467,328.80 and 347,002.40 is: 520,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,170.60 : 1,467,328.80 = 347,002.40 : x
  2. Step 2: Convert to fraction form
    978,170.60/1,467,328.80 = 347,002.40/x
  3. Step 3: Cross multiply
    978,170.60x = 1,467,328.80 × 347,002.40
  4. Step 4: Simplify right side
    978,170.60x = 509,166,615,189.12
  5. Step 5: Solve for x
    x = 509,166,615,189.12/978,170.60
  6. Step 6: Final answer
    x = 520,529.46

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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.