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Finding the Fourth Proportional to 385,897.89, 532,558.08 and 232,933.65

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Solution

The fourth proportional to 385,897.89, 532,558.08 and 232,933.65 is: 321,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,897.89 : 532,558.08 = 232,933.65 : x
  2. Step 2: Convert to fraction form
    385,897.89/532,558.08 = 232,933.65/x
  3. Step 3: Cross multiply
    385,897.89x = 532,558.08 × 232,933.65
  4. Step 4: Simplify right side
    385,897.89x = 124,050,697,411.39
  5. Step 5: Solve for x
    x = 124,050,697,411.39/385,897.89
  6. Step 6: Final answer
    x = 321,459.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.