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Finding the Fourth Proportional to 517,510.80, 714,080.34 and 299,641.86

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Solution

The fourth proportional to 517,510.80, 714,080.34 and 299,641.86 is: 413,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,510.80 : 714,080.34 = 299,641.86 : x
  2. Step 2: Convert to fraction form
    517,510.80/714,080.34 = 299,641.86/x
  3. Step 3: Cross multiply
    517,510.80x = 714,080.34 × 299,641.86
  4. Step 4: Simplify right side
    517,510.80x = 213,968,361,267.03
  5. Step 5: Solve for x
    x = 213,968,361,267.03/517,510.80
  6. Step 6: Final answer
    x = 413,456.80

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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.