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Finding the Fourth Proportional to 562,806.42, 777,354.48 and 409,601.67

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Solution

The fourth proportional to 562,806.42, 777,354.48 and 409,601.67 is: 565,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,806.42 : 777,354.48 = 409,601.67 : x
  2. Step 2: Convert to fraction form
    562,806.42/777,354.48 = 409,601.67/x
  3. Step 3: Cross multiply
    562,806.42x = 777,354.48 × 409,601.67
  4. Step 4: Simplify right side
    562,806.42x = 318,405,693,189.98
  5. Step 5: Solve for x
    x = 318,405,693,189.98/562,806.42
  6. Step 6: Final answer
    x = 565,746.38

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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.