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Finding the Fourth Proportional to 333,446.84, 460,156.58 and 180,485

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Solution

The fourth proportional to 333,446.84, 460,156.58 and 180,485 is: 249,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,446.84 : 460,156.58 = 180,485 : x
  2. Step 2: Convert to fraction form
    333,446.84/460,156.58 = 180,485/x
  3. Step 3: Cross multiply
    333,446.84x = 460,156.58 × 180,485
  4. Step 4: Simplify right side
    333,446.84x = 83,051,360,341.30
  5. Step 5: Solve for x
    x = 83,051,360,341.30/333,446.84
  6. Step 6: Final answer
    x = 249,069.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.