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Finding the Fourth Proportional to 633,023.42, 873,570.85 and 346,541

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Solution

The fourth proportional to 633,023.42, 873,570.85 and 346,541 is: 478,225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,023.42 : 873,570.85 = 346,541 : x
  2. Step 2: Convert to fraction form
    633,023.42/873,570.85 = 346,541/x
  3. Step 3: Cross multiply
    633,023.42x = 873,570.85 × 346,541
  4. Step 4: Simplify right side
    633,023.42x = 302,728,115,929.85
  5. Step 5: Solve for x
    x = 302,728,115,929.85/633,023.42
  6. Step 6: Final answer
    x = 478,225.78

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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.