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Finding the Fourth Proportional to 514,826.68, 710,461.04 and 313,622.68

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Solution

The fourth proportional to 514,826.68, 710,461.04 and 313,622.68 is: 432,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,826.68 : 710,461.04 = 313,622.68 : x
  2. Step 2: Convert to fraction form
    514,826.68/710,461.04 = 313,622.68/x
  3. Step 3: Cross multiply
    514,826.68x = 710,461.04 × 313,622.68
  4. Step 4: Simplify right side
    514,826.68x = 222,816,695,400.39
  5. Step 5: Solve for x
    x = 222,816,695,400.39/514,826.68
  6. Step 6: Final answer
    x = 432,799.43

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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.