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Finding the Fourth Proportional to 402,995.32, 604,704.66 and 178,510.84

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Solution

The fourth proportional to 402,995.32, 604,704.66 and 178,510.84 is: 267,860.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,995.32 : 604,704.66 = 178,510.84 : x
  2. Step 2: Convert to fraction form
    402,995.32/604,704.66 = 178,510.84/x
  3. Step 3: Cross multiply
    402,995.32x = 604,704.66 × 178,510.84
  4. Step 4: Simplify right side
    402,995.32x = 107,946,336,808.51
  5. Step 5: Solve for x
    x = 107,946,336,808.51/402,995.32
  6. Step 6: Final answer
    x = 267,860.03

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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.