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Finding the Fourth Proportional to 302,030.40, 453,191.40 and 213,092.40

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Solution

The fourth proportional to 302,030.40, 453,191.40 and 213,092.40 is: 319,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,030.40 : 453,191.40 = 213,092.40 : x
  2. Step 2: Convert to fraction form
    302,030.40/453,191.40 = 213,092.40/x
  3. Step 3: Cross multiply
    302,030.40x = 453,191.40 × 213,092.40
  4. Step 4: Simplify right side
    302,030.40x = 96,571,643,085.36
  5. Step 5: Solve for x
    x = 96,571,643,085.36/302,030.40
  6. Step 6: Final answer
    x = 319,741.47

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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.