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Finding the Fourth Proportional to 456,820.76, 685,227.32 and 357,064.88

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Solution

The fourth proportional to 456,820.76, 685,227.32 and 357,064.88 is: 535,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,820.76 : 685,227.32 = 357,064.88 : x
  2. Step 2: Convert to fraction form
    456,820.76/685,227.32 = 357,064.88/x
  3. Step 3: Cross multiply
    456,820.76x = 685,227.32 × 357,064.88
  4. Step 4: Simplify right side
    456,820.76x = 244,670,610,788.52
  5. Step 5: Solve for x
    x = 244,670,610,788.52/456,820.76
  6. Step 6: Final answer
    x = 535,594.33

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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.