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Finding the Fourth Proportional to 651,223.60, 976,543.80 and 296,054.80

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Solution

The fourth proportional to 651,223.60, 976,543.80 and 296,054.80 is: 443,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,223.60 : 976,543.80 = 296,054.80 : x
  2. Step 2: Convert to fraction form
    651,223.60/976,543.80 = 296,054.80/x
  3. Step 3: Cross multiply
    651,223.60x = 976,543.80 × 296,054.80
  4. Step 4: Simplify right side
    651,223.60x = 289,110,479,400.24
  5. Step 5: Solve for x
    x = 289,110,479,400.24/651,223.60
  6. Step 6: Final answer
    x = 443,949.63

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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.