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Finding the Fourth Proportional to 413,090.96, 619,623.48 and 117,602.96

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Solution

The fourth proportional to 413,090.96, 619,623.48 and 117,602.96 is: 176,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,090.96 : 619,623.48 = 117,602.96 : x
  2. Step 2: Convert to fraction form
    413,090.96/619,623.48 = 117,602.96/x
  3. Step 3: Cross multiply
    413,090.96x = 619,623.48 × 117,602.96
  4. Step 4: Simplify right side
    413,090.96x = 72,869,555,333.50
  5. Step 5: Solve for x
    x = 72,869,555,333.50/413,090.96
  6. Step 6: Final answer
    x = 176,400.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.