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Finding the Fourth Proportional to 514,077.68, 709,835.16 and 342,160.88

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Solution

The fourth proportional to 514,077.68, 709,835.16 and 342,160.88 is: 472,453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,077.68 : 709,835.16 = 342,160.88 : x
  2. Step 2: Convert to fraction form
    514,077.68/709,835.16 = 342,160.88/x
  3. Step 3: Cross multiply
    514,077.68x = 709,835.16 × 342,160.88
  4. Step 4: Simplify right side
    514,077.68x = 242,877,823,000.54
  5. Step 5: Solve for x
    x = 242,877,823,000.54/514,077.68
  6. Step 6: Final answer
    x = 472,453.55

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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.