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Finding the Fourth Proportional to 312,430.42, 431,154.21 and 169,190.62

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Solution

The fourth proportional to 312,430.42, 431,154.21 and 169,190.62 is: 233,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,430.42 : 431,154.21 = 169,190.62 : x
  2. Step 2: Convert to fraction form
    312,430.42/431,154.21 = 169,190.62/x
  3. Step 3: Cross multiply
    312,430.42x = 431,154.21 × 169,190.62
  4. Step 4: Simplify right side
    312,430.42x = 72,947,248,105.51
  5. Step 5: Solve for x
    x = 72,947,248,105.51/312,430.42
  6. Step 6: Final answer
    x = 233,483.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.