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Finding the Fourth Proportional to 341,002.65, 511,506.54 and 151,411.98

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Solution

The fourth proportional to 341,002.65, 511,506.54 and 151,411.98 is: 227,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,002.65 : 511,506.54 = 151,411.98 : x
  2. Step 2: Convert to fraction form
    341,002.65/511,506.54 = 151,411.98/x
  3. Step 3: Cross multiply
    341,002.65x = 511,506.54 × 151,411.98
  4. Step 4: Simplify right side
    341,002.65x = 77,448,218,004.35
  5. Step 5: Solve for x
    x = 77,448,218,004.35/341,002.65
  6. Step 6: Final answer
    x = 227,119.11

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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.