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Finding the Fourth Proportional to 323,046.48, 484,594.32 and 98,426.08

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Solution

The fourth proportional to 323,046.48, 484,594.32 and 98,426.08 is: 147,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,046.48 : 484,594.32 = 98,426.08 : x
  2. Step 2: Convert to fraction form
    323,046.48/484,594.32 = 98,426.08/x
  3. Step 3: Cross multiply
    323,046.48x = 484,594.32 × 98,426.08
  4. Step 4: Simplify right side
    323,046.48x = 47,696,719,307.87
  5. Step 5: Solve for x
    x = 47,696,719,307.87/323,046.48
  6. Step 6: Final answer
    x = 147,646.62

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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.