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Finding the Fourth Proportional to 410,509.36, 566,473.08 and 238,348.72

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Solution

The fourth proportional to 410,509.36, 566,473.08 and 238,348.72 is: 328,903.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,509.36 : 566,473.08 = 238,348.72 : x
  2. Step 2: Convert to fraction form
    410,509.36/566,473.08 = 238,348.72/x
  3. Step 3: Cross multiply
    410,509.36x = 566,473.08 × 238,348.72
  4. Step 4: Simplify right side
    410,509.36x = 135,018,133,532.46
  5. Step 5: Solve for x
    x = 135,018,133,532.46/410,509.36
  6. Step 6: Final answer
    x = 328,903.91

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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.