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Finding the Fourth Proportional to 475,657.73, 712,604.42 and 340,442.81

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Solution

The fourth proportional to 475,657.73, 712,604.42 and 340,442.81 is: 510,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,657.73 : 712,604.42 = 340,442.81 : x
  2. Step 2: Convert to fraction form
    475,657.73/712,604.42 = 340,442.81/x
  3. Step 3: Cross multiply
    475,657.73x = 712,604.42 × 340,442.81
  4. Step 4: Simplify right side
    475,657.73x = 242,601,049,461.01
  5. Step 5: Solve for x
    x = 242,601,049,461.01/475,657.73
  6. Step 6: Final answer
    x = 510,032.81

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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.