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Finding the Fourth Proportional to 511,657.07, 767,262.65 and 146,838.33

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Solution

The fourth proportional to 511,657.07, 767,262.65 and 146,838.33 is: 220,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,657.07 : 767,262.65 = 146,838.33 : x
  2. Step 2: Convert to fraction form
    511,657.07/767,262.65 = 146,838.33/x
  3. Step 3: Cross multiply
    511,657.07x = 767,262.65 × 146,838.33
  4. Step 4: Simplify right side
    511,657.07x = 112,663,565,463.18
  5. Step 5: Solve for x
    x = 112,663,565,463.18/511,657.07
  6. Step 6: Final answer
    x = 220,193.51

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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.