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Finding the Fourth Proportional to 291,646.80, 402,472.50 and 157,510.80

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Solution

The fourth proportional to 291,646.80, 402,472.50 and 157,510.80 is: 217,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,646.80 : 402,472.50 = 157,510.80 : x
  2. Step 2: Convert to fraction form
    291,646.80/402,472.50 = 157,510.80/x
  3. Step 3: Cross multiply
    291,646.80x = 402,472.50 × 157,510.80
  4. Step 4: Simplify right side
    291,646.80x = 63,393,765,453.00
  5. Step 5: Solve for x
    x = 63,393,765,453.00/291,646.80
  6. Step 6: Final answer
    x = 217,364.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.