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Finding the Fourth Proportional to 511,825.71, 767,115.95 and 362,109.17

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Solution

The fourth proportional to 511,825.71, 767,115.95 and 362,109.17 is: 542,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,825.71 : 767,115.95 = 362,109.17 : x
  2. Step 2: Convert to fraction form
    511,825.71/767,115.95 = 362,109.17/x
  3. Step 3: Cross multiply
    511,825.71x = 767,115.95 × 362,109.17
  4. Step 4: Simplify right side
    511,825.71x = 277,779,714,302.14
  5. Step 5: Solve for x
    x = 277,779,714,302.14/511,825.71
  6. Step 6: Final answer
    x = 542,723.25

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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.