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Finding the Fourth Proportional to 517,537.39, 776,390.35 and 152,835.89

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Solution

The fourth proportional to 517,537.39, 776,390.35 and 152,835.89 is: 229,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,537.39 : 776,390.35 = 152,835.89 : x
  2. Step 2: Convert to fraction form
    517,537.39/776,390.35 = 152,835.89/x
  3. Step 3: Cross multiply
    517,537.39x = 776,390.35 × 152,835.89
  4. Step 4: Simplify right side
    517,537.39x = 118,660,307,771.61
  5. Step 5: Solve for x
    x = 118,660,307,771.61/517,537.39
  6. Step 6: Final answer
    x = 229,278.71

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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.