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Finding the Fourth Proportional to 562,803.42, 777,350.34 and 409,598.67

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Solution

The fourth proportional to 562,803.42, 777,350.34 and 409,598.67 is: 565,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,803.42 : 777,350.34 = 409,598.67 : x
  2. Step 2: Convert to fraction form
    562,803.42/777,350.34 = 409,598.67/x
  3. Step 3: Cross multiply
    562,803.42x = 777,350.34 × 409,598.67
  4. Step 4: Simplify right side
    562,803.42x = 318,401,665,388.05
  5. Step 5: Solve for x
    x = 318,401,665,388.05/562,803.42
  6. Step 6: Final answer
    x = 565,742.24

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1.5x scale

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.