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Finding the Fourth Proportional to 307,294, 460,988.49 and 104,842.71

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Solution

The fourth proportional to 307,294, 460,988.49 and 104,842.71 is: 157,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,294 : 460,988.49 = 104,842.71 : x
  2. Step 2: Convert to fraction form
    307,294/460,988.49 = 104,842.71/x
  3. Step 3: Cross multiply
    307,294x = 460,988.49 × 104,842.71
  4. Step 4: Simplify right side
    307,294x = 48,331,282,570.41
  5. Step 5: Solve for x
    x = 48,331,282,570.41/307,294
  6. Step 6: Final answer
    x = 157,280.27

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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.