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Finding the Fourth Proportional to 562,800.42, 777,346.20 and 409,595.67

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Solution

The fourth proportional to 562,800.42, 777,346.20 and 409,595.67 is: 565,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,800.42 : 777,346.20 = 409,595.67 : x
  2. Step 2: Convert to fraction form
    562,800.42/777,346.20 = 409,595.67/x
  3. Step 3: Cross multiply
    562,800.42x = 777,346.20 × 409,595.67
  4. Step 4: Simplify right side
    562,800.42x = 318,397,637,610.95
  5. Step 5: Solve for x
    x = 318,397,637,610.95/562,800.42
  6. Step 6: Final answer
    x = 565,738.10

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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.