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Finding the Fourth Proportional to 315,767.20, 473,650.80 and 289,962.40

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Solution

The fourth proportional to 315,767.20, 473,650.80 and 289,962.40 is: 434,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,767.20 : 473,650.80 = 289,962.40 : x
  2. Step 2: Convert to fraction form
    315,767.20/473,650.80 = 289,962.40/x
  3. Step 3: Cross multiply
    315,767.20x = 473,650.80 × 289,962.40
  4. Step 4: Simplify right side
    315,767.20x = 137,340,922,729.92
  5. Step 5: Solve for x
    x = 137,340,922,729.92/315,767.20
  6. Step 6: Final answer
    x = 434,943.60

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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.