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Finding the Fourth Proportional to 496,838.61, 745,428.02 and 212,411.97

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Solution

The fourth proportional to 496,838.61, 745,428.02 and 212,411.97 is: 318,690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,838.61 : 745,428.02 = 212,411.97 : x
  2. Step 2: Convert to fraction form
    496,838.61/745,428.02 = 212,411.97/x
  3. Step 3: Cross multiply
    496,838.61x = 745,428.02 × 212,411.97
  4. Step 4: Simplify right side
    496,838.61x = 158,337,833,159.34
  5. Step 5: Solve for x
    x = 158,337,833,159.34/496,838.61
  6. Step 6: Final answer
    x = 318,690.68

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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.