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Finding the Fourth Proportional to 602,838.06, 831,538.10 and 357,649.24

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Solution

The fourth proportional to 602,838.06, 831,538.10 and 357,649.24 is: 493,331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,838.06 : 831,538.10 = 357,649.24 : x
  2. Step 2: Convert to fraction form
    602,838.06/831,538.10 = 357,649.24/x
  3. Step 3: Cross multiply
    602,838.06x = 831,538.10 × 357,649.24
  4. Step 4: Simplify right side
    602,838.06x = 297,398,969,496.04
  5. Step 5: Solve for x
    x = 297,398,969,496.04/602,838.06
  6. Step 6: Final answer
    x = 493,331.44

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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.