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Finding the Fourth Proportional to 314,217.57, 433,665.11 and 176,411.06

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Solution

The fourth proportional to 314,217.57, 433,665.11 and 176,411.06 is: 243,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,217.57 : 433,665.11 = 176,411.06 : x
  2. Step 2: Convert to fraction form
    314,217.57/433,665.11 = 176,411.06/x
  3. Step 3: Cross multiply
    314,217.57x = 433,665.11 × 176,411.06
  4. Step 4: Simplify right side
    314,217.57x = 76,503,321,639.06
  5. Step 5: Solve for x
    x = 76,503,321,639.06/314,217.57
  6. Step 6: Final answer
    x = 243,472.45

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1.5x scale

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.