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Finding the Fourth Proportional to 314,242.46, 433,663.72 and 171,011.74

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Solution

The fourth proportional to 314,242.46, 433,663.72 and 171,011.74 is: 236,001.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,242.46 : 433,663.72 = 171,011.74 : x
  2. Step 2: Convert to fraction form
    314,242.46/433,663.72 = 171,011.74/x
  3. Step 3: Cross multiply
    314,242.46x = 433,663.72 × 171,011.74
  4. Step 4: Simplify right side
    314,242.46x = 74,161,587,332.07
  5. Step 5: Solve for x
    x = 74,161,587,332.07/314,242.46
  6. Step 6: Final answer
    x = 236,001.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.