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Finding the Fourth Proportional to 307,730.70, 460,904.85 and 307,730.70

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Solution

The fourth proportional to 307,730.70, 460,904.85 and 307,730.70 is: 460,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,730.70 : 460,904.85 = 307,730.70 : x
  2. Step 2: Convert to fraction form
    307,730.70/460,904.85 = 307,730.70/x
  3. Step 3: Cross multiply
    307,730.70x = 460,904.85 × 307,730.70
  4. Step 4: Simplify right side
    307,730.70x = 141,834,572,123.90
  5. Step 5: Solve for x
    x = 141,834,572,123.90/307,730.70
  6. Step 6: Final answer
    x = 460,904.85

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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.