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Finding the Fourth Proportional to 602,190.04, 830,962.38 and 347,623.24

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Solution

The fourth proportional to 602,190.04, 830,962.38 and 347,623.24 is: 479,685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,190.04 : 830,962.38 = 347,623.24 : x
  2. Step 2: Convert to fraction form
    602,190.04/830,962.38 = 347,623.24/x
  3. Step 3: Cross multiply
    602,190.04x = 830,962.38 × 347,623.24
  4. Step 4: Simplify right side
    602,190.04x = 288,861,834,853.71
  5. Step 5: Solve for x
    x = 288,861,834,853.71/602,190.04
  6. Step 6: Final answer
    x = 479,685.51

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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.