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Finding the Fourth Proportional to 511,295.68, 705,590.40 and 296,562.88

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Solution

The fourth proportional to 511,295.68, 705,590.40 and 296,562.88 is: 409,258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,295.68 : 705,590.40 = 296,562.88 : x
  2. Step 2: Convert to fraction form
    511,295.68/705,590.40 = 296,562.88/x
  3. Step 3: Cross multiply
    511,295.68x = 705,590.40 × 296,562.88
  4. Step 4: Simplify right side
    511,295.68x = 209,251,921,124.35
  5. Step 5: Solve for x
    x = 209,251,921,124.35/511,295.68
  6. Step 6: Final answer
    x = 409,258.14

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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.