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Finding the Fourth Proportional to 314,030.71, 433,475.11 and 186,706

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Solution

The fourth proportional to 314,030.71, 433,475.11 and 186,706 is: 257,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,030.71 : 433,475.11 = 186,706 : x
  2. Step 2: Convert to fraction form
    314,030.71/433,475.11 = 186,706/x
  3. Step 3: Cross multiply
    314,030.71x = 433,475.11 × 186,706
  4. Step 4: Simplify right side
    314,030.71x = 80,932,403,887.66
  5. Step 5: Solve for x
    x = 80,932,403,887.66/314,030.71
  6. Step 6: Final answer
    x = 257,721.30

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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.