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Finding the Fourth Proportional to 852,905.63, 1,176,978.87 and 470,924.21

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Solution

The fourth proportional to 852,905.63, 1,176,978.87 and 470,924.21 is: 649,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,905.63 : 1,176,978.87 = 470,924.21 : x
  2. Step 2: Convert to fraction form
    852,905.63/1,176,978.87 = 470,924.21/x
  3. Step 3: Cross multiply
    852,905.63x = 1,176,978.87 × 470,924.21
  4. Step 4: Simplify right side
    852,905.63x = 554,267,838,656.55
  5. Step 5: Solve for x
    x = 554,267,838,656.55/852,905.63
  6. Step 6: Final answer
    x = 649,858.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.