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Finding the Fourth Proportional to 461,770.83, 692,875.37 and 319,834.35

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Solution

The fourth proportional to 461,770.83, 692,875.37 and 319,834.35 is: 479,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,770.83 : 692,875.37 = 319,834.35 : x
  2. Step 2: Convert to fraction form
    461,770.83/692,875.37 = 319,834.35/x
  3. Step 3: Cross multiply
    461,770.83x = 692,875.37 × 319,834.35
  4. Step 4: Simplify right side
    461,770.83x = 221,605,341,995.79
  5. Step 5: Solve for x
    x = 221,605,341,995.79/461,770.83
  6. Step 6: Final answer
    x = 479,903.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.