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Finding the Fourth Proportional to 564,829, 847,593.66 and 328,283.08

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Solution

The fourth proportional to 564,829, 847,593.66 and 328,283.08 is: 492,628.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,829 : 847,593.66 = 328,283.08 : x
  2. Step 2: Convert to fraction form
    564,829/847,593.66 = 328,283.08/x
  3. Step 3: Cross multiply
    564,829x = 847,593.66 × 328,283.08
  4. Step 4: Simplify right side
    564,829x = 278,250,657,293.27
  5. Step 5: Solve for x
    x = 278,250,657,293.27/564,829
  6. Step 6: Final answer
    x = 492,628.14

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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.