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Finding the Fourth Proportional to 390,125.09, 538,224.26 and 288,394.81

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Solution

The fourth proportional to 390,125.09, 538,224.26 and 288,394.81 is: 397,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,125.09 : 538,224.26 = 288,394.81 : x
  2. Step 2: Convert to fraction form
    390,125.09/538,224.26 = 288,394.81/x
  3. Step 3: Cross multiply
    390,125.09x = 538,224.26 × 288,394.81
  4. Step 4: Simplify right side
    390,125.09x = 155,221,080,412.56
  5. Step 5: Solve for x
    x = 155,221,080,412.56/390,125.09
  6. Step 6: Final answer
    x = 397,875.15

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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.