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Finding the Fourth Proportional to 484,809.08, 727,263.38 and 185,541.40

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Solution

The fourth proportional to 484,809.08, 727,263.38 and 185,541.40 is: 278,331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,809.08 : 727,263.38 = 185,541.40 : x
  2. Step 2: Convert to fraction form
    484,809.08/727,263.38 = 185,541.40/x
  3. Step 3: Cross multiply
    484,809.08x = 727,263.38 × 185,541.40
  4. Step 4: Simplify right side
    484,809.08x = 134,937,465,693.93
  5. Step 5: Solve for x
    x = 134,937,465,693.93/484,809.08
  6. Step 6: Final answer
    x = 278,331.14

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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.