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Finding the Fourth Proportional to 602,048.78, 830,836.98 and 330,141.50

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Solution

The fourth proportional to 602,048.78, 830,836.98 and 330,141.50 is: 455,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,048.78 : 830,836.98 = 330,141.50 : x
  2. Step 2: Convert to fraction form
    602,048.78/830,836.98 = 330,141.50/x
  3. Step 3: Cross multiply
    602,048.78x = 830,836.98 × 330,141.50
  4. Step 4: Simplify right side
    602,048.78x = 274,293,766,832.67
  5. Step 5: Solve for x
    x = 274,293,766,832.67/602,048.78
  6. Step 6: Final answer
    x = 455,600.57

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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.