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Finding the Fourth Proportional to 387,504.34, 535,016.88 and 346,541.38

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Solution

The fourth proportional to 387,504.34, 535,016.88 and 346,541.38 is: 478,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,504.34 : 535,016.88 = 346,541.38 : x
  2. Step 2: Convert to fraction form
    387,504.34/535,016.88 = 346,541.38/x
  3. Step 3: Cross multiply
    387,504.34x = 535,016.88 × 346,541.38
  4. Step 4: Simplify right side
    387,504.34x = 185,405,487,918.49
  5. Step 5: Solve for x
    x = 185,405,487,918.49/387,504.34
  6. Step 6: Final answer
    x = 478,460.42

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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.