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Finding the Fourth Proportional to 385,146.34, 531,486.30 and 210,713.74

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Solution

The fourth proportional to 385,146.34, 531,486.30 and 210,713.74 is: 290,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,146.34 : 531,486.30 = 210,713.74 : x
  2. Step 2: Convert to fraction form
    385,146.34/531,486.30 = 210,713.74/x
  3. Step 3: Cross multiply
    385,146.34x = 531,486.30 × 210,713.74
  4. Step 4: Simplify right side
    385,146.34x = 111,991,466,031.76
  5. Step 5: Solve for x
    x = 111,991,466,031.76/385,146.34
  6. Step 6: Final answer
    x = 290,776.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.