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Finding the Fourth Proportional to 333,683.85, 460,483.31 and 180,721.95

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Solution

The fourth proportional to 333,683.85, 460,483.31 and 180,721.95 is: 249,396.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,683.85 : 460,483.31 = 180,721.95 : x
  2. Step 2: Convert to fraction form
    333,683.85/460,483.31 = 180,721.95/x
  3. Step 3: Cross multiply
    333,683.85x = 460,483.31 × 180,721.95
  4. Step 4: Simplify right side
    333,683.85x = 83,219,440,822.04
  5. Step 5: Solve for x
    x = 83,219,440,822.04/333,683.85
  6. Step 6: Final answer
    x = 249,396.07

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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.