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Finding the Fourth Proportional to 602,113.52, 830,909.81 and 347,459.24

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Solution

The fourth proportional to 602,113.52, 830,909.81 and 347,459.24 is: 479,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,113.52 : 830,909.81 = 347,459.24 : x
  2. Step 2: Convert to fraction form
    602,113.52/830,909.81 = 347,459.24/x
  3. Step 3: Cross multiply
    602,113.52x = 830,909.81 × 347,459.24
  4. Step 4: Simplify right side
    602,113.52x = 288,707,289,353.85
  5. Step 5: Solve for x
    x = 288,707,289,353.85/602,113.52
  6. Step 6: Final answer
    x = 479,489.80

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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.