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Finding the Fourth Proportional to 633,210.24, 873,829.62 and 346,735.92

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Solution

The fourth proportional to 633,210.24, 873,829.62 and 346,735.92 is: 478,495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,210.24 : 873,829.62 = 346,735.92 : x
  2. Step 2: Convert to fraction form
    633,210.24/873,829.62 = 346,735.92/x
  3. Step 3: Cross multiply
    633,210.24x = 873,829.62 × 346,735.92
  4. Step 4: Simplify right side
    633,210.24x = 302,988,117,213.95
  5. Step 5: Solve for x
    x = 302,988,117,213.95/633,210.24
  6. Step 6: Final answer
    x = 478,495.29

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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.