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Finding the Fourth Proportional to 423,273, 584,115 and 232,289.52

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Solution

The fourth proportional to 423,273, 584,115 and 232,289.52 is: 320,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,273 : 584,115 = 232,289.52 : x
  2. Step 2: Convert to fraction form
    423,273/584,115 = 232,289.52/x
  3. Step 3: Cross multiply
    423,273x = 584,115 × 232,289.52
  4. Step 4: Simplify right side
    423,273x = 135,683,792,974.80
  5. Step 5: Solve for x
    x = 135,683,792,974.80/423,273
  6. Step 6: Final answer
    x = 320,558.58

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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.