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Finding the Fourth Proportional to 333,444.84, 460,153.83 and 180,483

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Solution

The fourth proportional to 333,444.84, 460,153.83 and 180,483 is: 249,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,444.84 : 460,153.83 = 180,483 : x
  2. Step 2: Convert to fraction form
    333,444.84/460,153.83 = 180,483/x
  3. Step 3: Cross multiply
    333,444.84x = 460,153.83 × 180,483
  4. Step 4: Simplify right side
    333,444.84x = 83,049,943,699.89
  5. Step 5: Solve for x
    x = 83,049,943,699.89/333,444.84
  6. Step 6: Final answer
    x = 249,066.51

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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.