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Finding the Fourth Proportional to 508,560.63, 701,846.47 and 282,206.13

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Solution

The fourth proportional to 508,560.63, 701,846.47 and 282,206.13 is: 389,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,560.63 : 701,846.47 = 282,206.13 : x
  2. Step 2: Convert to fraction form
    508,560.63/701,846.47 = 282,206.13/x
  3. Step 3: Cross multiply
    508,560.63x = 701,846.47 × 282,206.13
  4. Step 4: Simplify right side
    508,560.63x = 198,065,376,152.86
  5. Step 5: Solve for x
    x = 198,065,376,152.86/508,560.63
  6. Step 6: Final answer
    x = 389,462.66

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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.