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Finding the Fourth Proportional to 616,088.20, 923,138.70 and 349,054.60

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Solution

The fourth proportional to 616,088.20, 923,138.70 and 349,054.60 is: 523,018.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,088.20 : 923,138.70 = 349,054.60 : x
  2. Step 2: Convert to fraction form
    616,088.20/923,138.70 = 349,054.60/x
  3. Step 3: Cross multiply
    616,088.20x = 923,138.70 × 349,054.60
  4. Step 4: Simplify right side
    616,088.20x = 322,225,809,673.02
  5. Step 5: Solve for x
    x = 322,225,809,673.02/616,088.20
  6. Step 6: Final answer
    x = 523,018.96

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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.