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Finding the Fourth Proportional to 333,857.23, 460,723.44 and 180,897.08

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Solution

The fourth proportional to 333,857.23, 460,723.44 and 180,897.08 is: 249,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,857.23 : 460,723.44 = 180,897.08 : x
  2. Step 2: Convert to fraction form
    333,857.23/460,723.44 = 180,897.08/x
  3. Step 3: Cross multiply
    333,857.23x = 460,723.44 × 180,897.08
  4. Step 4: Simplify right side
    333,857.23x = 83,343,524,079.07
  5. Step 5: Solve for x
    x = 83,343,524,079.07/333,857.23
  6. Step 6: Final answer
    x = 249,638.22

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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.