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Finding the Fourth Proportional to 415,345.70, 622,986.15 and 162,577.10

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Solution

The fourth proportional to 415,345.70, 622,986.15 and 162,577.10 is: 243,852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,345.70 : 622,986.15 = 162,577.10 : x
  2. Step 2: Convert to fraction form
    415,345.70/622,986.15 = 162,577.10/x
  3. Step 3: Cross multiply
    415,345.70x = 622,986.15 × 162,577.10
  4. Step 4: Simplify right side
    415,345.70x = 101,283,281,607.17
  5. Step 5: Solve for x
    x = 101,283,281,607.17/415,345.70
  6. Step 6: Final answer
    x = 243,852.97

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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.