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Finding the Fourth Proportional to 462,465.59, 638,309.16 and 301,039.47

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Solution

The fourth proportional to 462,465.59, 638,309.16 and 301,039.47 is: 415,503.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,465.59 : 638,309.16 = 301,039.47 : x
  2. Step 2: Convert to fraction form
    462,465.59/638,309.16 = 301,039.47/x
  3. Step 3: Cross multiply
    462,465.59x = 638,309.16 × 301,039.47
  4. Step 4: Simplify right side
    462,465.59x = 192,156,251,222.55
  5. Step 5: Solve for x
    x = 192,156,251,222.55/462,465.59
  6. Step 6: Final answer
    x = 415,503.89

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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.