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Finding the Fourth Proportional to 597,925.65, 825,106.12 and 339,768.07

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Solution

The fourth proportional to 597,925.65, 825,106.12 and 339,768.07 is: 468,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,925.65 : 825,106.12 = 339,768.07 : x
  2. Step 2: Convert to fraction form
    597,925.65/825,106.12 = 339,768.07/x
  3. Step 3: Cross multiply
    597,925.65x = 825,106.12 × 339,768.07
  4. Step 4: Simplify right side
    597,925.65x = 280,344,711,981.00
  5. Step 5: Solve for x
    x = 280,344,711,981.00/597,925.65
  6. Step 6: Final answer
    x = 468,862.16

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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.