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Finding the Fourth Proportional to 333,253.14, 459,888.82 and 180,290.82

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Solution

The fourth proportional to 333,253.14, 459,888.82 and 180,290.82 is: 248,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,253.14 : 459,888.82 = 180,290.82 : x
  2. Step 2: Convert to fraction form
    333,253.14/459,888.82 = 180,290.82/x
  3. Step 3: Cross multiply
    333,253.14x = 459,888.82 × 180,290.82
  4. Step 4: Simplify right side
    333,253.14x = 82,913,732,466.63
  5. Step 5: Solve for x
    x = 82,913,732,466.63/333,253.14
  6. Step 6: Final answer
    x = 248,801.05

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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.