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Finding the Fourth Proportional to 491,042.25, 736,594.51 and 154,096.19

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Solution

The fourth proportional to 491,042.25, 736,594.51 and 154,096.19 is: 231,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,042.25 : 736,594.51 = 154,096.19 : x
  2. Step 2: Convert to fraction form
    491,042.25/736,594.51 = 154,096.19/x
  3. Step 3: Cross multiply
    491,042.25x = 736,594.51 × 154,096.19
  4. Step 4: Simplify right side
    491,042.25x = 113,506,404,075.57
  5. Step 5: Solve for x
    x = 113,506,404,075.57/491,042.25
  6. Step 6: Final answer
    x = 231,154.05

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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.