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Finding the Fourth Proportional to 353,143.20, 529,714.80 and 116,428.80

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Solution

The fourth proportional to 353,143.20, 529,714.80 and 116,428.80 is: 174,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,143.20 : 529,714.80 = 116,428.80 : x
  2. Step 2: Convert to fraction form
    353,143.20/529,714.80 = 116,428.80/x
  3. Step 3: Cross multiply
    353,143.20x = 529,714.80 × 116,428.80
  4. Step 4: Simplify right side
    353,143.20x = 61,674,058,506.24
  5. Step 5: Solve for x
    x = 61,674,058,506.24/353,143.20
  6. Step 6: Final answer
    x = 174,643.20

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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.