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Finding the Fourth Proportional to 333,347, 460,015.34 and 180,381.84

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Solution

The fourth proportional to 333,347, 460,015.34 and 180,381.84 is: 248,925.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,347 : 460,015.34 = 180,381.84 : x
  2. Step 2: Convert to fraction form
    333,347/460,015.34 = 180,381.84/x
  3. Step 3: Cross multiply
    333,347x = 460,015.34 × 180,381.84
  4. Step 4: Simplify right side
    333,347x = 82,978,413,457.43
  5. Step 5: Solve for x
    x = 82,978,413,457.43/333,347
  6. Step 6: Final answer
    x = 248,925.03

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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.