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Finding the Fourth Proportional to 470,953.76, 651,627.59 and 410,650.07

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Solution

The fourth proportional to 470,953.76, 651,627.59 and 410,650.07 is: 568,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,953.76 : 651,627.59 = 410,650.07 : x
  2. Step 2: Convert to fraction form
    470,953.76/651,627.59 = 410,650.07/x
  3. Step 3: Cross multiply
    470,953.76x = 651,627.59 × 410,650.07
  4. Step 4: Simplify right side
    470,953.76x = 267,590,910,136.04
  5. Step 5: Solve for x
    x = 267,590,910,136.04/470,953.76
  6. Step 6: Final answer
    x = 568,189.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.