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Finding the Fourth Proportional to 522,870.80, 784,232.16 and 167,838.08

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Solution

The fourth proportional to 522,870.80, 784,232.16 and 167,838.08 is: 251,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,870.80 : 784,232.16 = 167,838.08 : x
  2. Step 2: Convert to fraction form
    522,870.80/784,232.16 = 167,838.08/x
  3. Step 3: Cross multiply
    522,870.80x = 784,232.16 × 167,838.08
  4. Step 4: Simplify right side
    522,870.80x = 131,624,020,008.65
  5. Step 5: Solve for x
    x = 131,624,020,008.65/522,870.80
  6. Step 6: Final answer
    x = 251,733.35

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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.