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Finding the Fourth Proportional to 333,714.57, 460,526.88 and 180,752.14

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Solution

The fourth proportional to 333,714.57, 460,526.88 and 180,752.14 is: 249,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,714.57 : 460,526.88 = 180,752.14 : x
  2. Step 2: Convert to fraction form
    333,714.57/460,526.88 = 180,752.14/x
  3. Step 3: Cross multiply
    333,714.57x = 460,526.88 × 180,752.14
  4. Step 4: Simplify right side
    333,714.57x = 83,241,220,341.00
  5. Step 5: Solve for x
    x = 83,241,220,341.00/333,714.57
  6. Step 6: Final answer
    x = 249,438.38

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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.