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Finding the Fourth Proportional to 423,085.32, 634,031.28 and 233,630.98

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Solution

The fourth proportional to 423,085.32, 634,031.28 and 233,630.98 is: 350,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,085.32 : 634,031.28 = 233,630.98 : x
  2. Step 2: Convert to fraction form
    423,085.32/634,031.28 = 233,630.98/x
  3. Step 3: Cross multiply
    423,085.32x = 634,031.28 × 233,630.98
  4. Step 4: Simplify right side
    423,085.32x = 148,129,349,297.05
  5. Step 5: Solve for x
    x = 148,129,349,297.05/423,085.32
  6. Step 6: Final answer
    x = 350,116.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.