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Finding the Fourth Proportional to 387,526.78, 534,802.80 and 217,760.50

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Solution

The fourth proportional to 387,526.78, 534,802.80 and 217,760.50 is: 300,518.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,526.78 : 534,802.80 = 217,760.50 : x
  2. Step 2: Convert to fraction form
    387,526.78/534,802.80 = 217,760.50/x
  3. Step 3: Cross multiply
    387,526.78x = 534,802.80 × 217,760.50
  4. Step 4: Simplify right side
    387,526.78x = 116,458,925,129.40
  5. Step 5: Solve for x
    x = 116,458,925,129.40/387,526.78
  6. Step 6: Final answer
    x = 300,518.39

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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.