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Finding the Fourth Proportional to 565,529.80, 780,411.38 and 310,879.16

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Solution

The fourth proportional to 565,529.80, 780,411.38 and 310,879.16 is: 429,002.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,529.80 : 780,411.38 = 310,879.16 : x
  2. Step 2: Convert to fraction form
    565,529.80/780,411.38 = 310,879.16/x
  3. Step 3: Cross multiply
    565,529.80x = 780,411.38 × 310,879.16
  4. Step 4: Simplify right side
    565,529.80x = 242,613,634,268.84
  5. Step 5: Solve for x
    x = 242,613,634,268.84/565,529.80
  6. Step 6: Final answer
    x = 429,002.39

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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.