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Finding the Fourth Proportional to 313,769, 433,001.86 and 172,457

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Solution

The fourth proportional to 313,769, 433,001.86 and 172,457 is: 237,991.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,769 : 433,001.86 = 172,457 : x
  2. Step 2: Convert to fraction form
    313,769/433,001.86 = 172,457/x
  3. Step 3: Cross multiply
    313,769x = 433,001.86 × 172,457
  4. Step 4: Simplify right side
    313,769x = 74,674,201,770.02
  5. Step 5: Solve for x
    x = 74,674,201,770.02/313,769
  6. Step 6: Final answer
    x = 237,991.01

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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.