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Finding the Fourth Proportional to 289,527.09, 398,655.51 and 257,205.66

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Solution

The fourth proportional to 289,527.09, 398,655.51 and 257,205.66 is: 354,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,527.09 : 398,655.51 = 257,205.66 : x
  2. Step 2: Convert to fraction form
    289,527.09/398,655.51 = 257,205.66/x
  3. Step 3: Cross multiply
    289,527.09x = 398,655.51 × 257,205.66
  4. Step 4: Simplify right side
    289,527.09x = 102,536,453,562.19
  5. Step 5: Solve for x
    x = 102,536,453,562.19/289,527.09
  6. Step 6: Final answer
    x = 354,151.50

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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.