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Finding the Fourth Proportional to 517,903.47, 714,726.09 and 285,339.86

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Solution

The fourth proportional to 517,903.47, 714,726.09 and 285,339.86 is: 393,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,903.47 : 714,726.09 = 285,339.86 : x
  2. Step 2: Convert to fraction form
    517,903.47/714,726.09 = 285,339.86/x
  3. Step 3: Cross multiply
    517,903.47x = 714,726.09 × 285,339.86
  4. Step 4: Simplify right side
    517,903.47x = 203,939,841,565.54
  5. Step 5: Solve for x
    x = 203,939,841,565.54/517,903.47
  6. Step 6: Final answer
    x = 393,779.64

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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.