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Finding the Fourth Proportional to 586,294.24, 809,017.95 and 328,185.58

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Solution

The fourth proportional to 586,294.24, 809,017.95 and 328,185.58 is: 452,857.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,294.24 : 809,017.95 = 328,185.58 : x
  2. Step 2: Convert to fraction form
    586,294.24/809,017.95 = 328,185.58/x
  3. Step 3: Cross multiply
    586,294.24x = 809,017.95 × 328,185.58
  4. Step 4: Simplify right side
    586,294.24x = 265,508,025,151.16
  5. Step 5: Solve for x
    x = 265,508,025,151.16/586,294.24
  6. Step 6: Final answer
    x = 452,857.98

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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.