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Finding the Fourth Proportional to 562,775.42, 777,311.76 and 409,570.60

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Solution

The fourth proportional to 562,775.42, 777,311.76 and 409,570.60 is: 565,703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,775.42 : 777,311.76 = 409,570.60 : x
  2. Step 2: Convert to fraction form
    562,775.42/777,311.76 = 409,570.60/x
  3. Step 3: Cross multiply
    562,775.42x = 777,311.76 × 409,570.60
  4. Step 4: Simplify right side
    562,775.42x = 318,364,043,930.26
  5. Step 5: Solve for x
    x = 318,364,043,930.26/562,775.42
  6. Step 6: Final answer
    x = 565,703.53

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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.