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Finding the Fourth Proportional to 317,830.40, 476,308.20 and 210,910.40

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Solution

The fourth proportional to 317,830.40, 476,308.20 and 210,910.40 is: 316,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,830.40 : 476,308.20 = 210,910.40 : x
  2. Step 2: Convert to fraction form
    317,830.40/476,308.20 = 210,910.40/x
  3. Step 3: Cross multiply
    317,830.40x = 476,308.20 × 210,910.40
  4. Step 4: Simplify right side
    317,830.40x = 100,458,352,985.28
  5. Step 5: Solve for x
    x = 100,458,352,985.28/317,830.40
  6. Step 6: Final answer
    x = 316,075.34

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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.