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Finding the Fourth Proportional to 296,510.04, 409,155.66 and 175,651.56

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Solution

The fourth proportional to 296,510.04, 409,155.66 and 175,651.56 is: 242,382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,510.04 : 409,155.66 = 175,651.56 : x
  2. Step 2: Convert to fraction form
    296,510.04/409,155.66 = 175,651.56/x
  3. Step 3: Cross multiply
    296,510.04x = 409,155.66 × 175,651.56
  4. Step 4: Simplify right side
    296,510.04x = 71,868,829,961.83
  5. Step 5: Solve for x
    x = 71,868,829,961.83/296,510.04
  6. Step 6: Final answer
    x = 242,382.45

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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.