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Finding the Fourth Proportional to 597,398.45, 824,407.35 and 325,465.49

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Solution

The fourth proportional to 597,398.45, 824,407.35 and 325,465.49 is: 449,141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,398.45 : 824,407.35 = 325,465.49 : x
  2. Step 2: Convert to fraction form
    597,398.45/824,407.35 = 325,465.49/x
  3. Step 3: Cross multiply
    597,398.45x = 824,407.35 × 325,465.49
  4. Step 4: Simplify right side
    597,398.45x = 268,316,138,005.32
  5. Step 5: Solve for x
    x = 268,316,138,005.32/597,398.45
  6. Step 6: Final answer
    x = 449,141.01

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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.