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Finding the Fourth Proportional to 590,492.47, 814,905.45 and 332,386.07

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Solution

The fourth proportional to 590,492.47, 814,905.45 and 332,386.07 is: 458,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,492.47 : 814,905.45 = 332,386.07 : x
  2. Step 2: Convert to fraction form
    590,492.47/814,905.45 = 332,386.07/x
  3. Step 3: Cross multiply
    590,492.47x = 814,905.45 × 332,386.07
  4. Step 4: Simplify right side
    590,492.47x = 270,863,221,391.23
  5. Step 5: Solve for x
    x = 270,863,221,391.23/590,492.47
  6. Step 6: Final answer
    x = 458,707.33

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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.