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Finding the Fourth Proportional to 514,628.49, 772,017.17 and 194,693.61

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Solution

The fourth proportional to 514,628.49, 772,017.17 and 194,693.61 is: 292,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,628.49 : 772,017.17 = 194,693.61 : x
  2. Step 2: Convert to fraction form
    514,628.49/772,017.17 = 194,693.61/x
  3. Step 3: Cross multiply
    514,628.49x = 772,017.17 × 194,693.61
  4. Step 4: Simplify right side
    514,628.49x = 150,306,808,835.82
  5. Step 5: Solve for x
    x = 150,306,808,835.82/514,628.49
  6. Step 6: Final answer
    x = 292,068.57

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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.