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Finding the Fourth Proportional to 565,120.80, 847,154.16 and 190,882.08

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Solution

The fourth proportional to 565,120.80, 847,154.16 and 190,882.08 is: 286,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,120.80 : 847,154.16 = 190,882.08 : x
  2. Step 2: Convert to fraction form
    565,120.80/847,154.16 = 190,882.08/x
  3. Step 3: Cross multiply
    565,120.80x = 847,154.16 × 190,882.08
  4. Step 4: Simplify right side
    565,120.80x = 161,706,548,141.45
  5. Step 5: Solve for x
    x = 161,706,548,141.45/565,120.80
  6. Step 6: Final answer
    x = 286,145.10

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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.