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Finding the Fourth Proportional to 307,143.96, 460,605.76 and 117,657.60

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Solution

The fourth proportional to 307,143.96, 460,605.76 and 117,657.60 is: 176,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,143.96 : 460,605.76 = 117,657.60 : x
  2. Step 2: Convert to fraction form
    307,143.96/460,605.76 = 117,657.60/x
  3. Step 3: Cross multiply
    307,143.96x = 460,605.76 × 117,657.60
  4. Step 4: Simplify right side
    307,143.96x = 54,193,768,267.78
  5. Step 5: Solve for x
    x = 54,193,768,267.78/307,143.96
  6. Step 6: Final answer
    x = 176,444.19

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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.