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Finding the Fourth Proportional to 582,026.46, 872,746.21 and 177,141

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Solution

The fourth proportional to 582,026.46, 872,746.21 and 177,141 is: 265,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,026.46 : 872,746.21 = 177,141 : x
  2. Step 2: Convert to fraction form
    582,026.46/872,746.21 = 177,141/x
  3. Step 3: Cross multiply
    582,026.46x = 872,746.21 × 177,141
  4. Step 4: Simplify right side
    582,026.46x = 154,599,136,385.61
  5. Step 5: Solve for x
    x = 154,599,136,385.61/582,026.46
  6. Step 6: Final answer
    x = 265,622.18

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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.