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Finding the Fourth Proportional to 310,204.40, 464,322.45 and 310,204.40

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Solution

The fourth proportional to 310,204.40, 464,322.45 and 310,204.40 is: 464,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,204.40 : 464,322.45 = 310,204.40 : x
  2. Step 2: Convert to fraction form
    310,204.40/464,322.45 = 310,204.40/x
  3. Step 3: Cross multiply
    310,204.40x = 464,322.45 × 310,204.40
  4. Step 4: Simplify right side
    310,204.40x = 144,034,867,008.78
  5. Step 5: Solve for x
    x = 144,034,867,008.78/310,204.40
  6. Step 6: Final answer
    x = 464,322.45

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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.