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Finding the Fourth Proportional to 538,157.37, 742,653.72 and 296,434.34

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Solution

The fourth proportional to 538,157.37, 742,653.72 and 296,434.34 is: 409,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,157.37 : 742,653.72 = 296,434.34 : x
  2. Step 2: Convert to fraction form
    538,157.37/742,653.72 = 296,434.34/x
  3. Step 3: Cross multiply
    538,157.37x = 742,653.72 × 296,434.34
  4. Step 4: Simplify right side
    538,157.37x = 220,148,061,623.48
  5. Step 5: Solve for x
    x = 220,148,061,623.48/538,157.37
  6. Step 6: Final answer
    x = 409,077.48

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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.