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Finding the Fourth Proportional to 284,510.28, 426,828.92 and 107,018.76

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Solution

The fourth proportional to 284,510.28, 426,828.92 and 107,018.76 is: 160,552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,510.28 : 426,828.92 = 107,018.76 : x
  2. Step 2: Convert to fraction form
    284,510.28/426,828.92 = 107,018.76/x
  3. Step 3: Cross multiply
    284,510.28x = 426,828.92 × 107,018.76
  4. Step 4: Simplify right side
    284,510.28x = 45,678,701,750.54
  5. Step 5: Solve for x
    x = 45,678,701,750.54/284,510.28
  6. Step 6: Final answer
    x = 160,552.03

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1.5x scale

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.