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Finding the Fourth Proportional to 415,689.84, 623,133.81 and 191,204.01

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Solution

The fourth proportional to 415,689.84, 623,133.81 and 191,204.01 is: 286,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,689.84 : 623,133.81 = 191,204.01 : x
  2. Step 2: Convert to fraction form
    415,689.84/623,133.81 = 191,204.01/x
  3. Step 3: Cross multiply
    415,689.84x = 623,133.81 × 191,204.01
  4. Step 4: Simplify right side
    415,689.84x = 119,145,683,238.58
  5. Step 5: Solve for x
    x = 119,145,683,238.58/415,689.84
  6. Step 6: Final answer
    x = 286,621.59

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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.