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Finding the Fourth Proportional to 341,158.67, 511,731 and 151,567.64

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Solution

The fourth proportional to 341,158.67, 511,731 and 151,567.64 is: 227,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,158.67 : 511,731 = 151,567.64 : x
  2. Step 2: Convert to fraction form
    341,158.67/511,731 = 151,567.64/x
  3. Step 3: Cross multiply
    341,158.67x = 511,731 × 151,567.64
  4. Step 4: Simplify right side
    341,158.67x = 77,561,859,345.18
  5. Step 5: Solve for x
    x = 77,561,859,345.18/341,158.67
  6. Step 6: Final answer
    x = 227,348.35

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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.