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Finding the Fourth Proportional to 565,389.16, 780,243.60 and 310,740.76

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Solution

The fourth proportional to 565,389.16, 780,243.60 and 310,740.76 is: 428,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,389.16 : 780,243.60 = 310,740.76 : x
  2. Step 2: Convert to fraction form
    565,389.16/780,243.60 = 310,740.76/x
  3. Step 3: Cross multiply
    565,389.16x = 780,243.60 × 310,740.76
  4. Step 4: Simplify right side
    565,389.16x = 242,453,489,249.14
  5. Step 5: Solve for x
    x = 242,453,489,249.14/565,389.16
  6. Step 6: Final answer
    x = 428,825.85

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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.