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Finding the Fourth Proportional to 397,703.60, 596,094.60 and 160,929.20

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Solution

The fourth proportional to 397,703.60, 596,094.60 and 160,929.20 is: 241,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,703.60 : 596,094.60 = 160,929.20 : x
  2. Step 2: Convert to fraction form
    397,703.60/596,094.60 = 160,929.20/x
  3. Step 3: Cross multiply
    397,703.60x = 596,094.60 × 160,929.20
  4. Step 4: Simplify right side
    397,703.60x = 95,929,027,102.32
  5. Step 5: Solve for x
    x = 95,929,027,102.32/397,703.60
  6. Step 6: Final answer
    x = 241,207.34

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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.