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Finding the Fourth Proportional to 333,146.48, 459,740.70 and 180,184.82

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Solution

The fourth proportional to 333,146.48, 459,740.70 and 180,184.82 is: 248,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,146.48 : 459,740.70 = 180,184.82 : x
  2. Step 2: Convert to fraction form
    333,146.48/459,740.70 = 180,184.82/x
  3. Step 3: Cross multiply
    333,146.48x = 459,740.70 × 180,184.82
  4. Step 4: Simplify right side
    333,146.48x = 82,838,295,276.17
  5. Step 5: Solve for x
    x = 82,838,295,276.17/333,146.48
  6. Step 6: Final answer
    x = 248,654.27

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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.