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Finding the Fourth Proportional to 565,742.48, 780,727.40 and 311,110.16

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Solution

The fourth proportional to 565,742.48, 780,727.40 and 311,110.16 is: 429,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,742.48 : 780,727.40 = 311,110.16 : x
  2. Step 2: Convert to fraction form
    565,742.48/780,727.40 = 311,110.16/x
  3. Step 3: Cross multiply
    565,742.48x = 780,727.40 × 311,110.16
  4. Step 4: Simplify right side
    565,742.48x = 242,892,226,330.38
  5. Step 5: Solve for x
    x = 242,892,226,330.38/565,742.48
  6. Step 6: Final answer
    x = 429,333.55

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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.