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Finding the Fourth Proportional to 382,980.16, 573,614.80 and 277,557.04

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Solution

The fourth proportional to 382,980.16, 573,614.80 and 277,557.04 is: 415,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,980.16 : 573,614.80 = 277,557.04 : x
  2. Step 2: Convert to fraction form
    382,980.16/573,614.80 = 277,557.04/x
  3. Step 3: Cross multiply
    382,980.16x = 573,614.80 × 277,557.04
  4. Step 4: Simplify right side
    382,980.16x = 159,210,825,988.19
  5. Step 5: Solve for x
    x = 159,210,825,988.19/382,980.16
  6. Step 6: Final answer
    x = 415,715.60

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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.