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Finding the Fourth Proportional to 565,556.54, 780,482.92 and 310,914.14

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Solution

The fourth proportional to 565,556.54, 780,482.92 and 310,914.14 is: 429,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,556.54 : 780,482.92 = 310,914.14 : x
  2. Step 2: Convert to fraction form
    565,556.54/780,482.92 = 310,914.14/x
  3. Step 3: Cross multiply
    565,556.54x = 780,482.92 × 310,914.14
  4. Step 4: Simplify right side
    565,556.54x = 242,663,171,176.79
  5. Step 5: Solve for x
    x = 242,663,171,176.79/565,556.54
  6. Step 6: Final answer
    x = 429,069.70

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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.