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Finding the Fourth Proportional to 514,950, 772,426.08 and 219,462

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Solution

The fourth proportional to 514,950, 772,426.08 and 219,462 is: 329,193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,950 : 772,426.08 = 219,462 : x
  2. Step 2: Convert to fraction form
    514,950/772,426.08 = 219,462/x
  3. Step 3: Cross multiply
    514,950x = 772,426.08 × 219,462
  4. Step 4: Simplify right side
    514,950x = 169,518,172,368.96
  5. Step 5: Solve for x
    x = 169,518,172,368.96/514,950
  6. Step 6: Final answer
    x = 329,193.46

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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.