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Finding the Fourth Proportional to 502,030.14, 692,793.71 and 275,675.64

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Solution

The fourth proportional to 502,030.14, 692,793.71 and 275,675.64 is: 380,428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,030.14 : 692,793.71 = 275,675.64 : x
  2. Step 2: Convert to fraction form
    502,030.14/692,793.71 = 275,675.64/x
  3. Step 3: Cross multiply
    502,030.14x = 692,793.71 × 275,675.64
  4. Step 4: Simplify right side
    502,030.14x = 190,986,348,013.85
  5. Step 5: Solve for x
    x = 190,986,348,013.85/502,030.14
  6. Step 6: Final answer
    x = 380,428.05

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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.