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Finding the Fourth Proportional to 597,881.42, 824,609.81 and 383,041.48

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Solution

The fourth proportional to 597,881.42, 824,609.81 and 383,041.48 is: 528,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,881.42 : 824,609.81 = 383,041.48 : x
  2. Step 2: Convert to fraction form
    597,881.42/824,609.81 = 383,041.48/x
  3. Step 3: Cross multiply
    597,881.42x = 824,609.81 × 383,041.48
  4. Step 4: Simplify right side
    597,881.42x = 315,859,756,006.66
  5. Step 5: Solve for x
    x = 315,859,756,006.66/597,881.42
  6. Step 6: Final answer
    x = 528,298.33

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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.