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Finding the Fourth Proportional to 651,872.80, 977,809.20 and 178,557.40

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Solution

The fourth proportional to 651,872.80, 977,809.20 and 178,557.40 is: 267,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,872.80 : 977,809.20 = 178,557.40 : x
  2. Step 2: Convert to fraction form
    651,872.80/977,809.20 = 178,557.40/x
  3. Step 3: Cross multiply
    651,872.80x = 977,809.20 × 178,557.40
  4. Step 4: Simplify right side
    651,872.80x = 174,595,068,448.08
  5. Step 5: Solve for x
    x = 174,595,068,448.08/651,872.80
  6. Step 6: Final answer
    x = 267,836.10

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Why These Related Problems?

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