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Finding the Fourth Proportional to 852,409.80, 1,176,291.12 and 470,431.60

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Solution

The fourth proportional to 852,409.80, 1,176,291.12 and 470,431.60 is: 649,176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,409.80 : 1,176,291.12 = 470,431.60 : x
  2. Step 2: Convert to fraction form
    852,409.80/1,176,291.12 = 470,431.60/x
  3. Step 3: Cross multiply
    852,409.80x = 1,176,291.12 × 470,431.60
  4. Step 4: Simplify right side
    852,409.80x = 553,364,513,647.39
  5. Step 5: Solve for x
    x = 553,364,513,647.39/852,409.80
  6. Step 6: Final answer
    x = 649,176.62

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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.