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Finding the Fourth Proportional to 333,698.30, 460,501.34 and 180,733.01

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Solution

The fourth proportional to 333,698.30, 460,501.34 and 180,733.01 is: 249,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,698.30 : 460,501.34 = 180,733.01 : x
  2. Step 2: Convert to fraction form
    333,698.30/460,501.34 = 180,733.01/x
  3. Step 3: Cross multiply
    333,698.30x = 460,501.34 × 180,733.01
  4. Step 4: Simplify right side
    333,698.30x = 83,227,790,081.06
  5. Step 5: Solve for x
    x = 83,227,790,081.06/333,698.30
  6. Step 6: Final answer
    x = 249,410.29

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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.