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Finding the Fourth Proportional to 461,628.48, 692,526.96 and 212,304

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Solution

The fourth proportional to 461,628.48, 692,526.96 and 212,304 is: 318,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,628.48 : 692,526.96 = 212,304 : x
  2. Step 2: Convert to fraction form
    461,628.48/692,526.96 = 212,304/x
  3. Step 3: Cross multiply
    461,628.48x = 692,526.96 × 212,304
  4. Step 4: Simplify right side
    461,628.48x = 147,026,243,715.84
  5. Step 5: Solve for x
    x = 147,026,243,715.84/461,628.48
  6. Step 6: Final answer
    x = 318,494.74

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Why These Related Problems?

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