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Finding the Fourth Proportional to 597,468.36, 824,329.46 and 355,557

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Solution

The fourth proportional to 597,468.36, 824,329.46 and 355,557 is: 490,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,468.36 : 824,329.46 = 355,557 : x
  2. Step 2: Convert to fraction form
    597,468.36/824,329.46 = 355,557/x
  3. Step 3: Cross multiply
    597,468.36x = 824,329.46 × 355,557
  4. Step 4: Simplify right side
    597,468.36x = 293,096,109,809.22
  5. Step 5: Solve for x
    x = 293,096,109,809.22/597,468.36
  6. Step 6: Final answer
    x = 490,563.40

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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.