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Finding the Fourth Proportional to 597,085.76, 823,107.84 and 453,596.72

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Solution

The fourth proportional to 597,085.76, 823,107.84 and 453,596.72 is: 625,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,085.76 : 823,107.84 = 453,596.72 : x
  2. Step 2: Convert to fraction form
    597,085.76/823,107.84 = 453,596.72/x
  3. Step 3: Cross multiply
    597,085.76x = 823,107.84 × 453,596.72
  4. Step 4: Simplify right side
    597,085.76x = 373,359,016,430.29
  5. Step 5: Solve for x
    x = 373,359,016,430.29/597,085.76
  6. Step 6: Final answer
    x = 625,302.16

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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.