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Finding the Fourth Proportional to 383,532.84, 575,382.35 and 146,875.54

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Solution

The fourth proportional to 383,532.84, 575,382.35 and 146,875.54 is: 220,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,532.84 : 575,382.35 = 146,875.54 : x
  2. Step 2: Convert to fraction form
    383,532.84/575,382.35 = 146,875.54/x
  3. Step 3: Cross multiply
    383,532.84x = 575,382.35 × 146,875.54
  4. Step 4: Simplify right side
    383,532.84x = 84,509,593,362.72
  5. Step 5: Solve for x
    x = 84,509,593,362.72/383,532.84
  6. Step 6: Final answer
    x = 220,345.13

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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.