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Finding the Fourth Proportional to 473,579.84, 710,650.08 and 174,270.66

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Solution

The fourth proportional to 473,579.84, 710,650.08 and 174,270.66 is: 261,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,579.84 : 710,650.08 = 174,270.66 : x
  2. Step 2: Convert to fraction form
    473,579.84/710,650.08 = 174,270.66/x
  3. Step 3: Cross multiply
    473,579.84x = 710,650.08 × 174,270.66
  4. Step 4: Simplify right side
    473,579.84x = 123,845,462,291.96
  5. Step 5: Solve for x
    x = 123,845,462,291.96/473,579.84
  6. Step 6: Final answer
    x = 261,509.15

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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.