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Finding the Fourth Proportional to 345,346, 518,048.34 and 96,028

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Solution

The fourth proportional to 345,346, 518,048.34 and 96,028 is: 144,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,346 : 518,048.34 = 96,028 : x
  2. Step 2: Convert to fraction form
    345,346/518,048.34 = 96,028/x
  3. Step 3: Cross multiply
    345,346x = 518,048.34 × 96,028
  4. Step 4: Simplify right side
    345,346x = 49,747,145,993.52
  5. Step 5: Solve for x
    x = 49,747,145,993.52/345,346
  6. Step 6: Final answer
    x = 144,050.16

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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.