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Finding the Fourth Proportional to 518,038.52, 714,703.54 and 313,942.21

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Solution

The fourth proportional to 518,038.52, 714,703.54 and 313,942.21 is: 433,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,038.52 : 714,703.54 = 313,942.21 : x
  2. Step 2: Convert to fraction form
    518,038.52/714,703.54 = 313,942.21/x
  3. Step 3: Cross multiply
    518,038.52x = 714,703.54 × 313,942.21
  4. Step 4: Simplify right side
    518,038.52x = 224,375,608,842.42
  5. Step 5: Solve for x
    x = 224,375,608,842.42/518,038.52
  6. Step 6: Final answer
    x = 433,125.34

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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.