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Finding the Fourth Proportional to 567,409.68, 783,001.79 and 309,280.94

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Solution

The fourth proportional to 567,409.68, 783,001.79 and 309,280.94 is: 426,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,409.68 : 783,001.79 = 309,280.94 : x
  2. Step 2: Convert to fraction form
    567,409.68/783,001.79 = 309,280.94/x
  3. Step 3: Cross multiply
    567,409.68x = 783,001.79 × 309,280.94
  4. Step 4: Simplify right side
    567,409.68x = 242,167,528,267.53
  5. Step 5: Solve for x
    x = 242,167,528,267.53/567,409.68
  6. Step 6: Final answer
    x = 426,794.85

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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.