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Finding the Fourth Proportional to 384,030.32, 575,867.17 and 224,152.41

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Solution

The fourth proportional to 384,030.32, 575,867.17 and 224,152.41 is: 336,124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,030.32 : 575,867.17 = 224,152.41 : x
  2. Step 2: Convert to fraction form
    384,030.32/575,867.17 = 224,152.41/x
  3. Step 3: Cross multiply
    384,030.32x = 575,867.17 × 224,152.41
  4. Step 4: Simplify right side
    384,030.32x = 129,082,016,435.07
  5. Step 5: Solve for x
    x = 129,082,016,435.07/384,030.32
  6. Step 6: Final answer
    x = 336,124.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.