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Finding the Fourth Proportional to 424,456, 585,710.88 and 233,477.44

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Solution

The fourth proportional to 424,456, 585,710.88 and 233,477.44 is: 322,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,456 : 585,710.88 = 233,477.44 : x
  2. Step 2: Convert to fraction form
    424,456/585,710.88 = 233,477.44/x
  3. Step 3: Cross multiply
    424,456x = 585,710.88 × 233,477.44
  4. Step 4: Simplify right side
    424,456x = 136,750,276,842.55
  5. Step 5: Solve for x
    x = 136,750,276,842.55/424,456
  6. Step 6: Final answer
    x = 322,177.74

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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.