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Finding the Fourth Proportional to 517,801.47, 776,827.53 and 176,241.45

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Solution

The fourth proportional to 517,801.47, 776,827.53 and 176,241.45 is: 264,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,801.47 : 776,827.53 = 176,241.45 : x
  2. Step 2: Convert to fraction form
    517,801.47/776,827.53 = 176,241.45/x
  3. Step 3: Cross multiply
    517,801.47x = 776,827.53 × 176,241.45
  4. Step 4: Simplify right side
    517,801.47x = 136,909,205,902.22
  5. Step 5: Solve for x
    x = 136,909,205,902.22/517,801.47
  6. Step 6: Final answer
    x = 264,404.82

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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.