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Finding the Fourth Proportional to 361,182, 539,576.51 and 233,784.36

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Solution

The fourth proportional to 361,182, 539,576.51 and 233,784.36 is: 349,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,182 : 539,576.51 = 233,784.36 : x
  2. Step 2: Convert to fraction form
    361,182/539,576.51 = 233,784.36/x
  3. Step 3: Cross multiply
    361,182x = 539,576.51 × 233,784.36
  4. Step 4: Simplify right side
    361,182x = 126,144,547,892.46
  5. Step 5: Solve for x
    x = 126,144,547,892.46/361,182
  6. Step 6: Final answer
    x = 349,254.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.