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Finding the Fourth Proportional to 616,527.56, 925,316.22 and 242,813

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Solution

The fourth proportional to 616,527.56, 925,316.22 and 242,813 is: 364,426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,527.56 : 925,316.22 = 242,813 : x
  2. Step 2: Convert to fraction form
    616,527.56/925,316.22 = 242,813/x
  3. Step 3: Cross multiply
    616,527.56x = 925,316.22 × 242,813
  4. Step 4: Simplify right side
    616,527.56x = 224,678,807,326.86
  5. Step 5: Solve for x
    x = 224,678,807,326.86/616,527.56
  6. Step 6: Final answer
    x = 364,426.22

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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.