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Finding the Fourth Proportional to 468,483.84, 646,065.18 and 307,478.52

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Solution

The fourth proportional to 468,483.84, 646,065.18 and 307,478.52 is: 424,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,483.84 : 646,065.18 = 307,478.52 : x
  2. Step 2: Convert to fraction form
    468,483.84/646,065.18 = 307,478.52/x
  3. Step 3: Cross multiply
    468,483.84x = 646,065.18 × 307,478.52
  4. Step 4: Simplify right side
    468,483.84x = 198,651,165,369.93
  5. Step 5: Solve for x
    x = 198,651,165,369.93/468,483.84
  6. Step 6: Final answer
    x = 424,029.92

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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.