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Finding the Fourth Proportional to 468,336, 646,582.32 and 307,472.52

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Solution

The fourth proportional to 468,336, 646,582.32 and 307,472.52 is: 424,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,336 : 646,582.32 = 307,472.52 : x
  2. Step 2: Convert to fraction form
    468,336/646,582.32 = 307,472.52/x
  3. Step 3: Cross multiply
    468,336x = 646,582.32 × 307,472.52
  4. Step 4: Simplify right side
    468,336x = 198,806,295,317.85
  5. Step 5: Solve for x
    x = 198,806,295,317.85/468,336
  6. Step 6: Final answer
    x = 424,495.01

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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.