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Finding the Fourth Proportional to 511,373.57, 705,539.10 and 296,470.73

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Solution

The fourth proportional to 511,373.57, 705,539.10 and 296,470.73 is: 409,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,373.57 : 705,539.10 = 296,470.73 : x
  2. Step 2: Convert to fraction form
    511,373.57/705,539.10 = 296,470.73/x
  3. Step 3: Cross multiply
    511,373.57x = 705,539.10 × 296,470.73
  4. Step 4: Simplify right side
    511,373.57x = 209,171,688,492.85
  5. Step 5: Solve for x
    x = 209,171,688,492.85/511,373.57
  6. Step 6: Final answer
    x = 409,038.92

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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.