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Finding the Fourth Proportional to 585,098.48, 807,434.52 and 316,826.48

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Solution

The fourth proportional to 585,098.48, 807,434.52 and 316,826.48 is: 437,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,098.48 : 807,434.52 = 316,826.48 : x
  2. Step 2: Convert to fraction form
    585,098.48/807,434.52 = 316,826.48/x
  3. Step 3: Cross multiply
    585,098.48x = 807,434.52 × 316,826.48
  4. Step 4: Simplify right side
    585,098.48x = 255,816,636,802.09
  5. Step 5: Solve for x
    x = 255,816,636,802.09/585,098.48
  6. Step 6: Final answer
    x = 437,219.79

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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.