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Finding the Fourth Proportional to 284,510.31, 392,628.36 and 157,188.84

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Solution

The fourth proportional to 284,510.31, 392,628.36 and 157,188.84 is: 216,922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,510.31 : 392,628.36 = 157,188.84 : x
  2. Step 2: Convert to fraction form
    284,510.31/392,628.36 = 157,188.84/x
  3. Step 3: Cross multiply
    284,510.31x = 392,628.36 × 157,188.84
  4. Step 4: Simplify right side
    284,510.31x = 61,716,796,459.50
  5. Step 5: Solve for x
    x = 61,716,796,459.50/284,510.31
  6. Step 6: Final answer
    x = 216,922.88

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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.