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Finding the Fourth Proportional to 333,848.64, 460,707.20 and 180,883.84

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Solution

The fourth proportional to 333,848.64, 460,707.20 and 180,883.84 is: 249,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,848.64 : 460,707.20 = 180,883.84 : x
  2. Step 2: Convert to fraction form
    333,848.64/460,707.20 = 180,883.84/x
  3. Step 3: Cross multiply
    333,848.64x = 460,707.20 × 180,883.84
  4. Step 4: Simplify right side
    333,848.64x = 83,334,487,451.65
  5. Step 5: Solve for x
    x = 83,334,487,451.65/333,848.64
  6. Step 6: Final answer
    x = 249,617.57

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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.