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Finding the Fourth Proportional to 515,388.16, 711,234.30 and 289,038.52

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Solution

The fourth proportional to 515,388.16, 711,234.30 and 289,038.52 is: 398,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,388.16 : 711,234.30 = 289,038.52 : x
  2. Step 2: Convert to fraction form
    515,388.16/711,234.30 = 289,038.52/x
  3. Step 3: Cross multiply
    515,388.16x = 711,234.30 × 289,038.52
  4. Step 4: Simplify right side
    515,388.16x = 205,574,109,445.24
  5. Step 5: Solve for x
    x = 205,574,109,445.24/515,388.16
  6. Step 6: Final answer
    x = 398,872.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.