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Finding the Fourth Proportional to 313,643.66, 432,829.30 and 177,702.77

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Solution

The fourth proportional to 313,643.66, 432,829.30 and 177,702.77 is: 245,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,643.66 : 432,829.30 = 177,702.77 : x
  2. Step 2: Convert to fraction form
    313,643.66/432,829.30 = 177,702.77/x
  3. Step 3: Cross multiply
    313,643.66x = 432,829.30 × 177,702.77
  4. Step 4: Simplify right side
    313,643.66x = 76,914,966,184.98
  5. Step 5: Solve for x
    x = 76,914,966,184.98/313,643.66
  6. Step 6: Final answer
    x = 245,230.42

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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.