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Finding the Fourth Proportional to 597,200, 895,892.16 and 223,276.16

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Solution

The fourth proportional to 597,200, 895,892.16 and 223,276.16 is: 334,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,200 : 895,892.16 = 223,276.16 : x
  2. Step 2: Convert to fraction form
    597,200/895,892.16 = 223,276.16/x
  3. Step 3: Cross multiply
    597,200x = 895,892.16 × 223,276.16
  4. Step 4: Simplify right side
    597,200x = 200,031,361,258.91
  5. Step 5: Solve for x
    x = 200,031,361,258.91/597,200
  6. Step 6: Final answer
    x = 334,948.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.