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Finding the Fourth Proportional to 333,726.32, 460,542.47 and 180,764.05

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Solution

The fourth proportional to 333,726.32, 460,542.47 and 180,764.05 is: 249,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,726.32 : 460,542.47 = 180,764.05 : x
  2. Step 2: Convert to fraction form
    333,726.32/460,542.47 = 180,764.05/x
  3. Step 3: Cross multiply
    333,726.32x = 460,542.47 × 180,764.05
  4. Step 4: Simplify right side
    333,726.32x = 83,249,523,101.79
  5. Step 5: Solve for x
    x = 83,249,523,101.79/333,726.32
  6. Step 6: Final answer
    x = 249,454.47

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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.