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Finding the Fourth Proportional to 597,398.69, 824,407.70 and 325,465.74

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Solution

The fourth proportional to 597,398.69, 824,407.70 and 325,465.74 is: 449,141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,398.69 : 824,407.70 = 325,465.74 : x
  2. Step 2: Convert to fraction form
    597,398.69/824,407.70 = 325,465.74/x
  3. Step 3: Cross multiply
    597,398.69x = 824,407.70 × 325,465.74
  4. Step 4: Simplify right side
    597,398.69x = 268,316,462,142.20
  5. Step 5: Solve for x
    x = 268,316,462,142.20/597,398.69
  6. Step 6: Final answer
    x = 449,141.36

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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.