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Finding the Fourth Proportional to 395,792.10, 593,688.09 and 174,176.10

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Solution

The fourth proportional to 395,792.10, 593,688.09 and 174,176.10 is: 261,264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,792.10 : 593,688.09 = 174,176.10 : x
  2. Step 2: Convert to fraction form
    395,792.10/593,688.09 = 174,176.10/x
  3. Step 3: Cross multiply
    395,792.10x = 593,688.09 × 174,176.10
  4. Step 4: Simplify right side
    395,792.10x = 103,406,276,132.65
  5. Step 5: Solve for x
    x = 103,406,276,132.65/395,792.10
  6. Step 6: Final answer
    x = 261,264.12

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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.