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Finding the Fourth Proportional to 315,765.20, 473,647.80 and 289,960.40

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Solution

The fourth proportional to 315,765.20, 473,647.80 and 289,960.40 is: 434,940.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,765.20 : 473,647.80 = 289,960.40 : x
  2. Step 2: Convert to fraction form
    315,765.20/473,647.80 = 289,960.40/x
  3. Step 3: Cross multiply
    315,765.20x = 473,647.80 × 289,960.40
  4. Step 4: Simplify right side
    315,765.20x = 137,339,105,547.12
  5. Step 5: Solve for x
    x = 137,339,105,547.12/315,765.20
  6. Step 6: Final answer
    x = 434,940.60

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1.5x scale

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.