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Finding the Fourth Proportional to 460,948, 691,538.64 and 128,524

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Solution

The fourth proportional to 460,948, 691,538.64 and 128,524 is: 192,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,948 : 691,538.64 = 128,524 : x
  2. Step 2: Convert to fraction form
    460,948/691,538.64 = 128,524/x
  3. Step 3: Cross multiply
    460,948x = 691,538.64 × 128,524
  4. Step 4: Simplify right side
    460,948x = 88,879,312,167.36
  5. Step 5: Solve for x
    x = 88,879,312,167.36/460,948
  6. Step 6: Final answer
    x = 192,818.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.