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Finding the Fourth Proportional to 514,536.30, 709,705.76 and 361,898.28

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Solution

The fourth proportional to 514,536.30, 709,705.76 and 361,898.28 is: 499,170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,536.30 : 709,705.76 = 361,898.28 : x
  2. Step 2: Convert to fraction form
    514,536.30/709,705.76 = 361,898.28/x
  3. Step 3: Cross multiply
    514,536.30x = 709,705.76 × 361,898.28
  4. Step 4: Simplify right side
    514,536.30x = 256,841,292,040.60
  5. Step 5: Solve for x
    x = 256,841,292,040.60/514,536.30
  6. Step 6: Final answer
    x = 499,170.40

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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.