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Finding the Fourth Proportional to 296,804.16, 409,569.12 and 175,939.20

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Solution

The fourth proportional to 296,804.16, 409,569.12 and 175,939.20 is: 242,783.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,804.16 : 409,569.12 = 175,939.20 : x
  2. Step 2: Convert to fraction form
    296,804.16/409,569.12 = 175,939.20/x
  3. Step 3: Cross multiply
    296,804.16x = 409,569.12 × 175,939.20
  4. Step 4: Simplify right side
    296,804.16x = 72,059,263,317.50
  5. Step 5: Solve for x
    x = 72,059,263,317.50/296,804.16
  6. Step 6: Final answer
    x = 242,783.87

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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.