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Finding the Fourth Proportional to 399,527.80, 599,518.92 and 146,775.82

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Solution

The fourth proportional to 399,527.80, 599,518.92 and 146,775.82 is: 220,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,527.80 : 599,518.92 = 146,775.82 : x
  2. Step 2: Convert to fraction form
    399,527.80/599,518.92 = 146,775.82/x
  3. Step 3: Cross multiply
    399,527.80x = 599,518.92 × 146,775.82
  4. Step 4: Simplify right side
    399,527.80x = 87,994,881,088.51
  5. Step 5: Solve for x
    x = 87,994,881,088.51/399,527.80
  6. Step 6: Final answer
    x = 220,247.20

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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.