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Finding the Fourth Proportional to 511,018.90, 705,196.78 and 281,597.36

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Solution

The fourth proportional to 511,018.90, 705,196.78 and 281,597.36 is: 388,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,018.90 : 705,196.78 = 281,597.36 : x
  2. Step 2: Convert to fraction form
    511,018.90/705,196.78 = 281,597.36/x
  3. Step 3: Cross multiply
    511,018.90x = 705,196.78 × 281,597.36
  4. Step 4: Simplify right side
    511,018.90x = 198,581,547,298.52
  5. Step 5: Solve for x
    x = 198,581,547,298.52/511,018.90
  6. Step 6: Final answer
    x = 388,599.22

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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.