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Finding the Fourth Proportional to 291,218.71, 436,933.19 and 101,706.98

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Solution

The fourth proportional to 291,218.71, 436,933.19 and 101,706.98 is: 152,597.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,218.71 : 436,933.19 = 101,706.98 : x
  2. Step 2: Convert to fraction form
    291,218.71/436,933.19 = 101,706.98/x
  3. Step 3: Cross multiply
    291,218.71x = 436,933.19 × 101,706.98
  4. Step 4: Simplify right side
    291,218.71x = 44,439,155,216.67
  5. Step 5: Solve for x
    x = 44,439,155,216.67/291,218.71
  6. Step 6: Final answer
    x = 152,597.18

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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.