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Finding the Fourth Proportional to 427,857.95, 590,421.49 and 234,228.53

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Solution

The fourth proportional to 427,857.95, 590,421.49 and 234,228.53 is: 323,223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,857.95 : 590,421.49 = 234,228.53 : x
  2. Step 2: Convert to fraction form
    427,857.95/590,421.49 = 234,228.53/x
  3. Step 3: Cross multiply
    427,857.95x = 590,421.49 × 234,228.53
  4. Step 4: Simplify right side
    427,857.95x = 138,293,557,683.11
  5. Step 5: Solve for x
    x = 138,293,557,683.11/427,857.95
  6. Step 6: Final answer
    x = 323,223.06

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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.