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Finding the Fourth Proportional to 407,862.47, 563,001.78 and 350,270.52

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Solution

The fourth proportional to 407,862.47, 563,001.78 and 350,270.52 is: 483,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,862.47 : 563,001.78 = 350,270.52 : x
  2. Step 2: Convert to fraction form
    407,862.47/563,001.78 = 350,270.52/x
  3. Step 3: Cross multiply
    407,862.47x = 563,001.78 × 350,270.52
  4. Step 4: Simplify right side
    407,862.47x = 197,202,927,678.39
  5. Step 5: Solve for x
    x = 197,202,927,678.39/407,862.47
  6. Step 6: Final answer
    x = 483,503.49

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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.