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Finding the Fourth Proportional to 543,216.80, 749,633.51 and 301,501.46

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Solution

The fourth proportional to 543,216.80, 749,633.51 and 301,501.46 is: 416,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,216.80 : 749,633.51 = 301,501.46 : x
  2. Step 2: Convert to fraction form
    543,216.80/749,633.51 = 301,501.46/x
  3. Step 3: Cross multiply
    543,216.80x = 749,633.51 × 301,501.46
  4. Step 4: Simplify right side
    543,216.80x = 226,015,592,474.25
  5. Step 5: Solve for x
    x = 226,015,592,474.25/543,216.80
  6. Step 6: Final answer
    x = 416,068.86

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1.5x scale

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.