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Finding the Fourth Proportional to 518,043.28, 714,710.08 and 313,946.96

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Solution

The fourth proportional to 518,043.28, 714,710.08 and 313,946.96 is: 433,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,043.28 : 714,710.08 = 313,946.96 : x
  2. Step 2: Convert to fraction form
    518,043.28/714,710.08 = 313,946.96/x
  3. Step 3: Cross multiply
    518,043.28x = 714,710.08 × 313,946.96
  4. Step 4: Simplify right side
    518,043.28x = 224,381,056,897.36
  5. Step 5: Solve for x
    x = 224,381,056,897.36/518,043.28
  6. Step 6: Final answer
    x = 433,131.87

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1.5x scale

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.