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Finding the Fourth Proportional to 333,406.31, 460,097.15 and 180,441.18

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Solution

The fourth proportional to 333,406.31, 460,097.15 and 180,441.18 is: 249,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,406.31 : 460,097.15 = 180,441.18 : x
  2. Step 2: Convert to fraction form
    333,406.31/460,097.15 = 180,441.18/x
  3. Step 3: Cross multiply
    333,406.31x = 460,097.15 × 180,441.18
  4. Step 4: Simplify right side
    333,406.31x = 83,020,471,758.43
  5. Step 5: Solve for x
    x = 83,020,471,758.43/333,406.31
  6. Step 6: Final answer
    x = 249,006.90

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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.