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Finding the Fourth Proportional to 432,960.40, 648,128.40 and 314,862.40

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Solution

The fourth proportional to 432,960.40, 648,128.40 and 314,862.40 is: 471,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,960.40 : 648,128.40 = 314,862.40 : x
  2. Step 2: Convert to fraction form
    432,960.40/648,128.40 = 314,862.40/x
  3. Step 3: Cross multiply
    432,960.40x = 648,128.40 × 314,862.40
  4. Step 4: Simplify right side
    432,960.40x = 204,071,263,532.16
  5. Step 5: Solve for x
    x = 204,071,263,532.16/432,960.40
  6. Step 6: Final answer
    x = 471,339.33

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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.