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Finding the Fourth Proportional to 314,718.30, 472,077.45 and 283,614.30

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Solution

The fourth proportional to 314,718.30, 472,077.45 and 283,614.30 is: 425,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,718.30 : 472,077.45 = 283,614.30 : x
  2. Step 2: Convert to fraction form
    314,718.30/472,077.45 = 283,614.30/x
  3. Step 3: Cross multiply
    314,718.30x = 472,077.45 × 283,614.30
  4. Step 4: Simplify right side
    314,718.30x = 133,887,915,527.54
  5. Step 5: Solve for x
    x = 133,887,915,527.54/314,718.30
  6. Step 6: Final answer
    x = 425,421.45

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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.