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Finding the Fourth Proportional to 314,173.92, 433,821.60 and 291,380.16

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Solution

The fourth proportional to 314,173.92, 433,821.60 and 291,380.16 is: 402,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,173.92 : 433,821.60 = 291,380.16 : x
  2. Step 2: Convert to fraction form
    314,173.92/433,821.60 = 291,380.16/x
  3. Step 3: Cross multiply
    314,173.92x = 433,821.60 × 291,380.16
  4. Step 4: Simplify right side
    314,173.92x = 126,407,007,219.46
  5. Step 5: Solve for x
    x = 126,407,007,219.46/314,173.92
  6. Step 6: Final answer
    x = 402,347.23

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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.