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Finding the Fourth Proportional to 384,913.53, 577,393.92 and 148,256.91

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Solution

The fourth proportional to 384,913.53, 577,393.92 and 148,256.91 is: 222,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,913.53 : 577,393.92 = 148,256.91 : x
  2. Step 2: Convert to fraction form
    384,913.53/577,393.92 = 148,256.91/x
  3. Step 3: Cross multiply
    384,913.53x = 577,393.92 × 148,256.91
  4. Step 4: Simplify right side
    384,913.53x = 85,602,638,431.99
  5. Step 5: Solve for x
    x = 85,602,638,431.99/384,913.53
  6. Step 6: Final answer
    x = 222,394.46

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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.