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Finding the Fourth Proportional to 493,130.60, 738,659.10 and 410,186.60

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Solution

The fourth proportional to 493,130.60, 738,659.10 and 410,186.60 is: 614,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,130.60 : 738,659.10 = 410,186.60 : x
  2. Step 2: Convert to fraction form
    493,130.60/738,659.10 = 410,186.60/x
  3. Step 3: Cross multiply
    493,130.60x = 738,659.10 × 410,186.60
  4. Step 4: Simplify right side
    493,130.60x = 302,988,064,788.06
  5. Step 5: Solve for x
    x = 302,988,064,788.06/493,130.60
  6. Step 6: Final answer
    x = 614,417.49

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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.