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Finding the Fourth Proportional to 313,114.64, 432,322.86 and 192,417.75

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Solution

The fourth proportional to 313,114.64, 432,322.86 and 192,417.75 is: 265,674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,114.64 : 432,322.86 = 192,417.75 : x
  2. Step 2: Convert to fraction form
    313,114.64/432,322.86 = 192,417.75/x
  3. Step 3: Cross multiply
    313,114.64x = 432,322.86 × 192,417.75
  4. Step 4: Simplify right side
    313,114.64x = 83,186,591,994.77
  5. Step 5: Solve for x
    x = 83,186,591,994.77/313,114.64
  6. Step 6: Final answer
    x = 265,674.56

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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.