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Finding the Fourth Proportional to 387,004.89, 534,048.69 and 214,934.01

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Solution

The fourth proportional to 387,004.89, 534,048.69 and 214,934.01 is: 296,598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,004.89 : 534,048.69 = 214,934.01 : x
  2. Step 2: Convert to fraction form
    387,004.89/534,048.69 = 214,934.01/x
  3. Step 3: Cross multiply
    387,004.89x = 534,048.69 × 214,934.01
  4. Step 4: Simplify right side
    387,004.89x = 114,785,225,280.27
  5. Step 5: Solve for x
    x = 114,785,225,280.27/387,004.89
  6. Step 6: Final answer
    x = 296,598.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.