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Finding the Fourth Proportional to 514,834.82, 710,050.78 and 362,377.70

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Solution

The fourth proportional to 514,834.82, 710,050.78 and 362,377.70 is: 499,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,834.82 : 710,050.78 = 362,377.70 : x
  2. Step 2: Convert to fraction form
    514,834.82/710,050.78 = 362,377.70/x
  3. Step 3: Cross multiply
    514,834.82x = 710,050.78 × 362,377.70
  4. Step 4: Simplify right side
    514,834.82x = 257,306,568,539.61
  5. Step 5: Solve for x
    x = 257,306,568,539.61/514,834.82
  6. Step 6: Final answer
    x = 499,784.70

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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.