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Finding the Fourth Proportional to 466,483.82, 643,946.30 and 313,610.67

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Solution

The fourth proportional to 466,483.82, 643,946.30 and 313,610.67 is: 432,916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,483.82 : 643,946.30 = 313,610.67 : x
  2. Step 2: Convert to fraction form
    466,483.82/643,946.30 = 313,610.67/x
  3. Step 3: Cross multiply
    466,483.82x = 643,946.30 × 313,610.67
  4. Step 4: Simplify right side
    466,483.82x = 201,948,430,587.02
  5. Step 5: Solve for x
    x = 201,948,430,587.02/466,483.82
  6. Step 6: Final answer
    x = 432,916.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.