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Finding the Fourth Proportional to 614,106.63, 847,468.89 and 356,033.70

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Solution

The fourth proportional to 614,106.63, 847,468.89 and 356,033.70 is: 491,327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,106.63 : 847,468.89 = 356,033.70 : x
  2. Step 2: Convert to fraction form
    614,106.63/847,468.89 = 356,033.70/x
  3. Step 3: Cross multiply
    614,106.63x = 847,468.89 × 356,033.70
  4. Step 4: Simplify right side
    614,106.63x = 301,727,484,541.59
  5. Step 5: Solve for x
    x = 301,727,484,541.59/614,106.63
  6. Step 6: Final answer
    x = 491,327.52

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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.