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Finding the Fourth Proportional to 565,193.12, 847,101.04 and 312,463.52

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Solution

The fourth proportional to 565,193.12, 847,101.04 and 312,463.52 is: 468,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,193.12 : 847,101.04 = 312,463.52 : x
  2. Step 2: Convert to fraction form
    565,193.12/847,101.04 = 312,463.52/x
  3. Step 3: Cross multiply
    565,193.12x = 847,101.04 × 312,463.52
  4. Step 4: Simplify right side
    565,193.12x = 264,688,172,754.06
  5. Step 5: Solve for x
    x = 264,688,172,754.06/565,193.12
  6. Step 6: Final answer
    x = 468,314.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.