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Finding the Fourth Proportional to 499,038.41, 688,796.64 and 284,306.06

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Solution

The fourth proportional to 499,038.41, 688,796.64 and 284,306.06 is: 392,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,038.41 : 688,796.64 = 284,306.06 : x
  2. Step 2: Convert to fraction form
    499,038.41/688,796.64 = 284,306.06/x
  3. Step 3: Cross multiply
    499,038.41x = 688,796.64 × 284,306.06
  4. Step 4: Simplify right side
    499,038.41x = 195,829,055,415.66
  5. Step 5: Solve for x
    x = 195,829,055,415.66/499,038.41
  6. Step 6: Final answer
    x = 392,412.80

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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.