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Finding the Fourth Proportional to 333,643.49, 460,428.21 and 180,682.86

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Solution

The fourth proportional to 333,643.49, 460,428.21 and 180,682.86 is: 249,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,643.49 : 460,428.21 = 180,682.86 : x
  2. Step 2: Convert to fraction form
    333,643.49/460,428.21 = 180,682.86/x
  3. Step 3: Cross multiply
    333,643.49x = 460,428.21 × 180,682.86
  4. Step 4: Simplify right side
    333,643.49x = 83,191,485,807.48
  5. Step 5: Solve for x
    x = 83,191,485,807.48/333,643.49
  6. Step 6: Final answer
    x = 249,342.46

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1.5x scale

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.