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Finding the Fourth Proportional to 456,842.10, 685,360.35 and 141,330.90

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Solution

The fourth proportional to 456,842.10, 685,360.35 and 141,330.90 is: 212,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,842.10 : 685,360.35 = 141,330.90 : x
  2. Step 2: Convert to fraction form
    456,842.10/685,360.35 = 141,330.90/x
  3. Step 3: Cross multiply
    456,842.10x = 685,360.35 × 141,330.90
  4. Step 4: Simplify right side
    456,842.10x = 96,862,595,089.82
  5. Step 5: Solve for x
    x = 96,862,595,089.82/456,842.10
  6. Step 6: Final answer
    x = 212,026.42

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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.