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Finding the Fourth Proportional to 314,707.53, 472,472.82 and 186,857.18

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Solution

The fourth proportional to 314,707.53, 472,472.82 and 186,857.18 is: 280,530.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,707.53 : 472,472.82 = 186,857.18 : x
  2. Step 2: Convert to fraction form
    314,707.53/472,472.82 = 186,857.18/x
  3. Step 3: Cross multiply
    314,707.53x = 472,472.82 × 186,857.18
  4. Step 4: Simplify right side
    314,707.53x = 88,284,938,771.85
  5. Step 5: Solve for x
    x = 88,284,938,771.85/314,707.53
  6. Step 6: Final answer
    x = 280,530.11

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1.5x scale

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.