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Finding the Fourth Proportional to 586,802.25, 809,807.01 and 328,690.26

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Solution

The fourth proportional to 586,802.25, 809,807.01 and 328,690.26 is: 453,603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,802.25 : 809,807.01 = 328,690.26 : x
  2. Step 2: Convert to fraction form
    586,802.25/809,807.01 = 328,690.26/x
  3. Step 3: Cross multiply
    586,802.25x = 809,807.01 × 328,690.26
  4. Step 4: Simplify right side
    586,802.25x = 266,175,676,666.72
  5. Step 5: Solve for x
    x = 266,175,676,666.72/586,802.25
  6. Step 6: Final answer
    x = 453,603.71

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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.