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Finding the Fourth Proportional to 343,312.65, 514,304.73 and 193,096.53

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Solution

The fourth proportional to 343,312.65, 514,304.73 and 193,096.53 is: 289,271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,312.65 : 514,304.73 = 193,096.53 : x
  2. Step 2: Convert to fraction form
    343,312.65/514,304.73 = 193,096.53/x
  3. Step 3: Cross multiply
    343,312.65x = 514,304.73 × 193,096.53
  4. Step 4: Simplify right side
    343,312.65x = 99,310,458,725.59
  5. Step 5: Solve for x
    x = 99,310,458,725.59/343,312.65
  6. Step 6: Final answer
    x = 289,271.19

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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.