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Finding the Fourth Proportional to 341,420.30, 511,841.24 and 141,615.98

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Solution

The fourth proportional to 341,420.30, 511,841.24 and 141,615.98 is: 212,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,420.30 : 511,841.24 = 141,615.98 : x
  2. Step 2: Convert to fraction form
    341,420.30/511,841.24 = 141,615.98/x
  3. Step 3: Cross multiply
    341,420.30x = 511,841.24 × 141,615.98
  4. Step 4: Simplify right side
    341,420.30x = 72,484,898,807.02
  5. Step 5: Solve for x
    x = 72,484,898,807.02/341,420.30
  6. Step 6: Final answer
    x = 212,304.01

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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.