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Finding the Fourth Proportional to 341,064.81, 511,106.77 and 234,569.02

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Solution

The fourth proportional to 341,064.81, 511,106.77 and 234,569.02 is: 351,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,064.81 : 511,106.77 = 234,569.02 : x
  2. Step 2: Convert to fraction form
    341,064.81/511,106.77 = 234,569.02/x
  3. Step 3: Cross multiply
    341,064.81x = 511,106.77 × 234,569.02
  4. Step 4: Simplify right side
    341,064.81x = 119,889,811,598.73
  5. Step 5: Solve for x
    x = 119,889,811,598.73/341,064.81
  6. Step 6: Final answer
    x = 351,516.22

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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.