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Finding the Fourth Proportional to 565,101.30, 847,124.88 and 190,862.58

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Solution

The fourth proportional to 565,101.30, 847,124.88 and 190,862.58 is: 286,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,101.30 : 847,124.88 = 190,862.58 : x
  2. Step 2: Convert to fraction form
    565,101.30/847,124.88 = 190,862.58/x
  3. Step 3: Cross multiply
    565,101.30x = 847,124.88 × 190,862.58
  4. Step 4: Simplify right side
    565,101.30x = 161,684,440,178.99
  5. Step 5: Solve for x
    x = 161,684,440,178.99/565,101.30
  6. Step 6: Final answer
    x = 286,115.85

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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.