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Finding the Fourth Proportional to 407,132.10, 610,406.55 and 170,352.90

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Solution

The fourth proportional to 407,132.10, 610,406.55 and 170,352.90 is: 255,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,132.10 : 610,406.55 = 170,352.90 : x
  2. Step 2: Convert to fraction form
    407,132.10/610,406.55 = 170,352.90/x
  3. Step 3: Cross multiply
    407,132.10x = 610,406.55 × 170,352.90
  4. Step 4: Simplify right side
    407,132.10x = 103,984,525,971.50
  5. Step 5: Solve for x
    x = 103,984,525,971.50/407,132.10
  6. Step 6: Final answer
    x = 255,407.34

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1.5x scale

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.