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Finding the Fourth Proportional to 333,686.14, 460,486.70 and 180,724.32

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Solution

The fourth proportional to 333,686.14, 460,486.70 and 180,724.32 is: 249,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,686.14 : 460,486.70 = 180,724.32 : x
  2. Step 2: Convert to fraction form
    333,686.14/460,486.70 = 180,724.32/x
  3. Step 3: Cross multiply
    333,686.14x = 460,486.70 × 180,724.32
  4. Step 4: Simplify right side
    333,686.14x = 83,221,145,726.54
  5. Step 5: Solve for x
    x = 83,221,145,726.54/333,686.14
  6. Step 6: Final answer
    x = 249,399.47

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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.