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Finding the Fourth Proportional to 565,472.04, 780,358.80 and 310,821

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Solution

The fourth proportional to 565,472.04, 780,358.80 and 310,821 is: 428,937.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,472.04 : 780,358.80 = 310,821 : x
  2. Step 2: Convert to fraction form
    565,472.04/780,358.80 = 310,821/x
  3. Step 3: Cross multiply
    565,472.04x = 780,358.80 × 310,821
  4. Step 4: Simplify right side
    565,472.04x = 242,551,902,574.80
  5. Step 5: Solve for x
    x = 242,551,902,574.80/565,472.04
  6. Step 6: Final answer
    x = 428,937.04

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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.