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Finding the Fourth Proportional to 213,075.60, 319,613.40 and 209,576.40

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Solution

The fourth proportional to 213,075.60, 319,613.40 and 209,576.40 is: 314,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,075.60 : 319,613.40 = 209,576.40 : x
  2. Step 2: Convert to fraction form
    213,075.60/319,613.40 = 209,576.40/x
  3. Step 3: Cross multiply
    213,075.60x = 319,613.40 × 209,576.40
  4. Step 4: Simplify right side
    213,075.60x = 66,983,425,763.76
  5. Step 5: Solve for x
    x = 66,983,425,763.76/213,075.60
  6. Step 6: Final answer
    x = 314,364.60

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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.