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Finding the Fourth Proportional to 310,282.64, 428,191.76 and 174,322.32

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Solution

The fourth proportional to 310,282.64, 428,191.76 and 174,322.32 is: 240,565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,282.64 : 428,191.76 = 174,322.32 : x
  2. Step 2: Convert to fraction form
    310,282.64/428,191.76 = 174,322.32/x
  3. Step 3: Cross multiply
    310,282.64x = 428,191.76 × 174,322.32
  4. Step 4: Simplify right side
    310,282.64x = 74,643,381,008.08
  5. Step 5: Solve for x
    x = 74,643,381,008.08/310,282.64
  6. Step 6: Final answer
    x = 240,565.77

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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.