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Finding the Fourth Proportional to 511,152.10, 705,392.75 and 296,419.61

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Solution

The fourth proportional to 511,152.10, 705,392.75 and 296,419.61 is: 409,060.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,152.10 : 705,392.75 = 296,419.61 : x
  2. Step 2: Convert to fraction form
    511,152.10/705,392.75 = 296,419.61/x
  3. Step 3: Cross multiply
    511,152.10x = 705,392.75 × 296,419.61
  4. Step 4: Simplify right side
    511,152.10x = 209,092,243,851.83
  5. Step 5: Solve for x
    x = 209,092,243,851.83/511,152.10
  6. Step 6: Final answer
    x = 409,060.72

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