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Finding the Fourth Proportional to 561,308.41, 841,374.51 and 261,541.81

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Solution

The fourth proportional to 561,308.41, 841,374.51 and 261,541.81 is: 392,038.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,308.41 : 841,374.51 = 261,541.81 : x
  2. Step 2: Convert to fraction form
    561,308.41/841,374.51 = 261,541.81/x
  3. Step 3: Cross multiply
    561,308.41x = 841,374.51 × 261,541.81
  4. Step 4: Simplify right side
    561,308.41x = 220,054,612,233.26
  5. Step 5: Solve for x
    x = 220,054,612,233.26/561,308.41
  6. Step 6: Final answer
    x = 392,038.69

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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.