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Finding the Fourth Proportional to 514,819.84, 709,875.84 and 323,599.36

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Solution

The fourth proportional to 514,819.84, 709,875.84 and 323,599.36 is: 446,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,819.84 : 709,875.84 = 323,599.36 : x
  2. Step 2: Convert to fraction form
    514,819.84/709,875.84 = 323,599.36/x
  3. Step 3: Cross multiply
    514,819.84x = 709,875.84 × 323,599.36
  4. Step 4: Simplify right side
    514,819.84x = 229,715,367,503.46
  5. Step 5: Solve for x
    x = 229,715,367,503.46/514,819.84
  6. Step 6: Final answer
    x = 446,205.35

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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.