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Finding the Fourth Proportional to 602,057.28, 830,848.41 and 330,150

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Solution

The fourth proportional to 602,057.28, 830,848.41 and 330,150 is: 455,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,057.28 : 830,848.41 = 330,150 : x
  2. Step 2: Convert to fraction form
    602,057.28/830,848.41 = 330,150/x
  3. Step 3: Cross multiply
    602,057.28x = 830,848.41 × 330,150
  4. Step 4: Simplify right side
    602,057.28x = 274,304,602,561.50
  5. Step 5: Solve for x
    x = 274,304,602,561.50/602,057.28
  6. Step 6: Final answer
    x = 455,612.13

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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.