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Finding the Fourth Proportional to 532,923.96, 797,953.48 and 405,959.40

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Solution

The fourth proportional to 532,923.96, 797,953.48 and 405,959.40 is: 607,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,923.96 : 797,953.48 = 405,959.40 : x
  2. Step 2: Convert to fraction form
    532,923.96/797,953.48 = 405,959.40/x
  3. Step 3: Cross multiply
    532,923.96x = 797,953.48 × 405,959.40
  4. Step 4: Simplify right side
    532,923.96x = 323,936,715,968.71
  5. Step 5: Solve for x
    x = 323,936,715,968.71/532,923.96
  6. Step 6: Final answer
    x = 607,847.91

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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.