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Finding the Fourth Proportional to 573,284.16, 860,271.86 and 199,569.60

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Solution

The fourth proportional to 573,284.16, 860,271.86 and 199,569.60 is: 299,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,284.16 : 860,271.86 = 199,569.60 : x
  2. Step 2: Convert to fraction form
    573,284.16/860,271.86 = 199,569.60/x
  3. Step 3: Cross multiply
    573,284.16x = 860,271.86 × 199,569.60
  4. Step 4: Simplify right side
    573,284.16x = 171,684,110,991.46
  5. Step 5: Solve for x
    x = 171,684,110,991.46/573,284.16
  6. Step 6: Final answer
    x = 299,474.72

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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.