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Finding the Fourth Proportional to 400,772.03, 553,440.06 and 257,780.30

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Solution

The fourth proportional to 400,772.03, 553,440.06 and 257,780.30 is: 355,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,772.03 : 553,440.06 = 257,780.30 : x
  2. Step 2: Convert to fraction form
    400,772.03/553,440.06 = 257,780.30/x
  3. Step 3: Cross multiply
    400,772.03x = 553,440.06 × 257,780.30
  4. Step 4: Simplify right side
    400,772.03x = 142,665,941,931.62
  5. Step 5: Solve for x
    x = 142,665,941,931.62/400,772.03
  6. Step 6: Final answer
    x = 355,977.80

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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.