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Finding the Fourth Proportional to 590,289.04, 814,497.16 and 332,130.16

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Solution

The fourth proportional to 590,289.04, 814,497.16 and 332,130.16 is: 458,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,289.04 : 814,497.16 = 332,130.16 : x
  2. Step 2: Convert to fraction form
    590,289.04/814,497.16 = 332,130.16/x
  3. Step 3: Cross multiply
    590,289.04x = 814,497.16 × 332,130.16
  4. Step 4: Simplify right side
    590,289.04x = 270,519,072,070.35
  5. Step 5: Solve for x
    x = 270,519,072,070.35/590,289.04
  6. Step 6: Final answer
    x = 458,282.39

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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.